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Finding the Fourth Proportional to 3,643.57, 5,464.14 and 1,177.73

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Solution

The fourth proportional to 3,643.57, 5,464.14 and 1,177.73 is: 1,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.57 : 5,464.14 = 1,177.73 : x
  2. Step 2: Convert to fraction form
    3,643.57/5,464.14 = 1,177.73/x
  3. Step 3: Cross multiply
    3,643.57x = 5,464.14 × 1,177.73
  4. Step 4: Simplify right side
    3,643.57x = 6,435,281.60
  5. Step 5: Solve for x
    x = 6,435,281.60/3,643.57
  6. Step 6: Final answer
    x = 1,766.20

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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.