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Finding the Fourth Proportional to 3,727.27, 5,591.71 and 1,130

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Solution

The fourth proportional to 3,727.27, 5,591.71 and 1,130 is: 1,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.27 : 5,591.71 = 1,130 : x
  2. Step 2: Convert to fraction form
    3,727.27/5,591.71 = 1,130/x
  3. Step 3: Cross multiply
    3,727.27x = 5,591.71 × 1,130
  4. Step 4: Simplify right side
    3,727.27x = 6,318,632.30
  5. Step 5: Solve for x
    x = 6,318,632.30/3,727.27
  6. Step 6: Final answer
    x = 1,695.24

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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.