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Finding the Fourth Proportional to 4,132.38, 5,702.68 and 2,269.38

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Solution

The fourth proportional to 4,132.38, 5,702.68 and 2,269.38 is: 3,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.38 : 5,702.68 = 2,269.38 : x
  2. Step 2: Convert to fraction form
    4,132.38/5,702.68 = 2,269.38/x
  3. Step 3: Cross multiply
    4,132.38x = 5,702.68 × 2,269.38
  4. Step 4: Simplify right side
    4,132.38x = 12,941,513.75
  5. Step 5: Solve for x
    x = 12,941,513.75/4,132.38
  6. Step 6: Final answer
    x = 3,131.74

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Why These Related Problems?

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