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Finding the Fourth Proportional to 4,737.96, 6,538.68 and 2,748.96

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Solution

The fourth proportional to 4,737.96, 6,538.68 and 2,748.96 is: 3,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.96 : 6,538.68 = 2,748.96 : x
  2. Step 2: Convert to fraction form
    4,737.96/6,538.68 = 2,748.96/x
  3. Step 3: Cross multiply
    4,737.96x = 6,538.68 × 2,748.96
  4. Step 4: Simplify right side
    4,737.96x = 17,974,569.77
  5. Step 5: Solve for x
    x = 17,974,569.77/4,737.96
  6. Step 6: Final answer
    x = 3,793.74

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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.