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Finding the Fourth Proportional to 3,125.57, 4,689.23 and 1,177.38

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Solution

The fourth proportional to 3,125.57, 4,689.23 and 1,177.38 is: 1,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.57 : 4,689.23 = 1,177.38 : x
  2. Step 2: Convert to fraction form
    3,125.57/4,689.23 = 1,177.38/x
  3. Step 3: Cross multiply
    3,125.57x = 4,689.23 × 1,177.38
  4. Step 4: Simplify right side
    3,125.57x = 5,520,999.73
  5. Step 5: Solve for x
    x = 5,520,999.73/3,125.57
  6. Step 6: Final answer
    x = 1,766.40

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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.