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Finding the Fourth Proportional to 3,643.25, 5,463.72 and 1,177.47

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Solution

The fourth proportional to 3,643.25, 5,463.72 and 1,177.47 is: 1,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.25 : 5,463.72 = 1,177.47 : x
  2. Step 2: Convert to fraction form
    3,643.25/5,463.72 = 1,177.47/x
  3. Step 3: Cross multiply
    3,643.25x = 5,463.72 × 1,177.47
  4. Step 4: Simplify right side
    3,643.25x = 6,433,366.39
  5. Step 5: Solve for x
    x = 6,433,366.39/3,643.25
  6. Step 6: Final answer
    x = 1,765.83

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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.