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Finding the Fourth Proportional to 5,168.52, 7,712.85 and 4,614.76

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Solution

The fourth proportional to 5,168.52, 7,712.85 and 4,614.76 is: 6,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.52 : 7,712.85 = 4,614.76 : x
  2. Step 2: Convert to fraction form
    5,168.52/7,712.85 = 4,614.76/x
  3. Step 3: Cross multiply
    5,168.52x = 7,712.85 × 4,614.76
  4. Step 4: Simplify right side
    5,168.52x = 35,592,951.67
  5. Step 5: Solve for x
    x = 35,592,951.67/5,168.52
  6. Step 6: Final answer
    x = 6,886.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.