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Finding the Fourth Proportional to 4,132.47, 5,702.81 and 2,269.47

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Solution

The fourth proportional to 4,132.47, 5,702.81 and 2,269.47 is: 3,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.47 : 5,702.81 = 2,269.47 : x
  2. Step 2: Convert to fraction form
    4,132.47/5,702.81 = 2,269.47/x
  3. Step 3: Cross multiply
    4,132.47x = 5,702.81 × 2,269.47
  4. Step 4: Simplify right side
    4,132.47x = 12,942,344.86
  5. Step 5: Solve for x
    x = 12,942,344.86/4,132.47
  6. Step 6: Final answer
    x = 3,131.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.