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Finding the Fourth Proportional to 4,737.68, 6,538.20 and 2,967.92

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Solution

The fourth proportional to 4,737.68, 6,538.20 and 2,967.92 is: 4,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.68 : 6,538.20 = 2,967.92 : x
  2. Step 2: Convert to fraction form
    4,737.68/6,538.20 = 2,967.92/x
  3. Step 3: Cross multiply
    4,737.68x = 6,538.20 × 2,967.92
  4. Step 4: Simplify right side
    4,737.68x = 19,404,854.54
  5. Step 5: Solve for x
    x = 19,404,854.54/4,737.68
  6. Step 6: Final answer
    x = 4,095.86

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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.