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Finding the Fourth Proportional to 3,734.90, 5,600.91 and 1,513.18

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Solution

The fourth proportional to 3,734.90, 5,600.91 and 1,513.18 is: 2,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.90 : 5,600.91 = 1,513.18 : x
  2. Step 2: Convert to fraction form
    3,734.90/5,600.91 = 1,513.18/x
  3. Step 3: Cross multiply
    3,734.90x = 5,600.91 × 1,513.18
  4. Step 4: Simplify right side
    3,734.90x = 8,475,184.99
  5. Step 5: Solve for x
    x = 8,475,184.99/3,734.90
  6. Step 6: Final answer
    x = 2,269.19

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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.