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Finding the Fourth Proportional to 5,167.92, 7,737 and 4,803.42

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Solution

The fourth proportional to 5,167.92, 7,737 and 4,803.42 is: 7,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.92 : 7,737 = 4,803.42 : x
  2. Step 2: Convert to fraction form
    5,167.92/7,737 = 4,803.42/x
  3. Step 3: Cross multiply
    5,167.92x = 7,737 × 4,803.42
  4. Step 4: Simplify right side
    5,167.92x = 37,164,060.54
  5. Step 5: Solve for x
    x = 37,164,060.54/5,167.92
  6. Step 6: Final answer
    x = 7,191.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.