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Finding the Fourth Proportional to 4,637.87, 6,948.65 and 3,862.83

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Solution

The fourth proportional to 4,637.87, 6,948.65 and 3,862.83 is: 5,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.87 : 6,948.65 = 3,862.83 : x
  2. Step 2: Convert to fraction form
    4,637.87/6,948.65 = 3,862.83/x
  3. Step 3: Cross multiply
    4,637.87x = 6,948.65 × 3,862.83
  4. Step 4: Simplify right side
    4,637.87x = 26,841,489.39
  5. Step 5: Solve for x
    x = 26,841,489.39/4,637.87
  6. Step 6: Final answer
    x = 5,787.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.