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Finding the Fourth Proportional to 4,201, 5,797.62 and 2,408.78

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Solution

The fourth proportional to 4,201, 5,797.62 and 2,408.78 is: 3,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201 : 5,797.62 = 2,408.78 : x
  2. Step 2: Convert to fraction form
    4,201/5,797.62 = 2,408.78/x
  3. Step 3: Cross multiply
    4,201x = 5,797.62 × 2,408.78
  4. Step 4: Simplify right side
    4,201x = 13,965,191.10
  5. Step 5: Solve for x
    x = 13,965,191.10/4,201
  6. Step 6: Final answer
    x = 3,324.25

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.