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Finding the Fourth Proportional to 5,706.74, 8,544.71 and 3,727.46

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Solution

The fourth proportional to 5,706.74, 8,544.71 and 3,727.46 is: 5,581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.74 : 8,544.71 = 3,727.46 : x
  2. Step 2: Convert to fraction form
    5,706.74/8,544.71 = 3,727.46/x
  3. Step 3: Cross multiply
    5,706.74x = 8,544.71 × 3,727.46
  4. Step 4: Simplify right side
    5,706.74x = 31,850,003.38
  5. Step 5: Solve for x
    x = 31,850,003.38/5,706.74
  6. Step 6: Final answer
    x = 5,581.13

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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.