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Finding the Fourth Proportional to 3,408.86, 5,113.40 and 943.47

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Solution

The fourth proportional to 3,408.86, 5,113.40 and 943.47 is: 1,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.86 : 5,113.40 = 943.47 : x
  2. Step 2: Convert to fraction form
    3,408.86/5,113.40 = 943.47/x
  3. Step 3: Cross multiply
    3,408.86x = 5,113.40 × 943.47
  4. Step 4: Simplify right side
    3,408.86x = 4,824,339.50
  5. Step 5: Solve for x
    x = 4,824,339.50/3,408.86
  6. Step 6: Final answer
    x = 1,415.24

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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.