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Finding the Fourth Proportional to 3,727.59, 5,592.18 and 1,130.73

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Solution

The fourth proportional to 3,727.59, 5,592.18 and 1,130.73 is: 1,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.59 : 5,592.18 = 1,130.73 : x
  2. Step 2: Convert to fraction form
    3,727.59/5,592.18 = 1,130.73/x
  3. Step 3: Cross multiply
    3,727.59x = 5,592.18 × 1,130.73
  4. Step 4: Simplify right side
    3,727.59x = 6,323,245.69
  5. Step 5: Solve for x
    x = 6,323,245.69/3,727.59
  6. Step 6: Final answer
    x = 1,696.34

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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.