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Finding the Fourth Proportional to 3,737.96, 5,609.34 and 2,506.76

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Solution

The fourth proportional to 3,737.96, 5,609.34 and 2,506.76 is: 3,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.96 : 5,609.34 = 2,506.76 : x
  2. Step 2: Convert to fraction form
    3,737.96/5,609.34 = 2,506.76/x
  3. Step 3: Cross multiply
    3,737.96x = 5,609.34 × 2,506.76
  4. Step 4: Simplify right side
    3,737.96x = 14,061,269.14
  5. Step 5: Solve for x
    x = 14,061,269.14/3,737.96
  6. Step 6: Final answer
    x = 3,761.75

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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.