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Finding the Fourth Proportional to 5,138.72, 7,702.68 and 2,502.32

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Solution

The fourth proportional to 5,138.72, 7,702.68 and 2,502.32 is: 3,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.72 : 7,702.68 = 2,502.32 : x
  2. Step 2: Convert to fraction form
    5,138.72/7,702.68 = 2,502.32/x
  3. Step 3: Cross multiply
    5,138.72x = 7,702.68 × 2,502.32
  4. Step 4: Simplify right side
    5,138.72x = 19,274,570.22
  5. Step 5: Solve for x
    x = 19,274,570.22/5,138.72
  6. Step 6: Final answer
    x = 3,750.85

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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.