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Finding the Fourth Proportional to 5,138.30, 7,073.06 and 4,432.52

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Solution

The fourth proportional to 5,138.30, 7,073.06 and 4,432.52 is: 6,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.30 : 7,073.06 = 4,432.52 : x
  2. Step 2: Convert to fraction form
    5,138.30/7,073.06 = 4,432.52/x
  3. Step 3: Cross multiply
    5,138.30x = 7,073.06 × 4,432.52
  4. Step 4: Simplify right side
    5,138.30x = 31,351,422.38
  5. Step 5: Solve for x
    x = 31,351,422.38/5,138.30
  6. Step 6: Final answer
    x = 6,101.52

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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.