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Finding the Fourth Proportional to 3,727.08, 5,591.42 and 1,130.22

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Solution

The fourth proportional to 3,727.08, 5,591.42 and 1,130.22 is: 1,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.08 : 5,591.42 = 1,130.22 : x
  2. Step 2: Convert to fraction form
    3,727.08/5,591.42 = 1,130.22/x
  3. Step 3: Cross multiply
    3,727.08x = 5,591.42 × 1,130.22
  4. Step 4: Simplify right side
    3,727.08x = 6,319,534.71
  5. Step 5: Solve for x
    x = 6,319,534.71/3,727.08
  6. Step 6: Final answer
    x = 1,695.57

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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.