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Finding the Fourth Proportional to 4,637.52, 6,401.52 and 2,869.92

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Solution

The fourth proportional to 4,637.52, 6,401.52 and 2,869.92 is: 3,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.52 : 6,401.52 = 2,869.92 : x
  2. Step 2: Convert to fraction form
    4,637.52/6,401.52 = 2,869.92/x
  3. Step 3: Cross multiply
    4,637.52x = 6,401.52 × 2,869.92
  4. Step 4: Simplify right side
    4,637.52x = 18,371,850.28
  5. Step 5: Solve for x
    x = 18,371,850.28/4,637.52
  6. Step 6: Final answer
    x = 3,961.57

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