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Finding the Fourth Proportional to 3,408.77, 5,113.16 and 1,462.34

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Solution

The fourth proportional to 3,408.77, 5,113.16 and 1,462.34 is: 2,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.77 : 5,113.16 = 1,462.34 : x
  2. Step 2: Convert to fraction form
    3,408.77/5,113.16 = 1,462.34/x
  3. Step 3: Cross multiply
    3,408.77x = 5,113.16 × 1,462.34
  4. Step 4: Simplify right side
    3,408.77x = 7,477,178.39
  5. Step 5: Solve for x
    x = 7,477,178.39/3,408.77
  6. Step 6: Final answer
    x = 2,193.51

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.