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Finding the Fourth Proportional to 3,689.01, 5,125.77 and 3,650.49

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Solution

The fourth proportional to 3,689.01, 5,125.77 and 3,650.49 is: 5,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.01 : 5,125.77 = 3,650.49 : x
  2. Step 2: Convert to fraction form
    3,689.01/5,125.77 = 3,650.49/x
  3. Step 3: Cross multiply
    3,689.01x = 5,125.77 × 3,650.49
  4. Step 4: Simplify right side
    3,689.01x = 18,711,572.13
  5. Step 5: Solve for x
    x = 18,711,572.13/3,689.01
  6. Step 6: Final answer
    x = 5,072.25

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.