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Finding the Fourth Proportional to 5,162.02, 7,737 and 2,530.78

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Solution

The fourth proportional to 5,162.02, 7,737 and 2,530.78 is: 3,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.02 : 7,737 = 2,530.78 : x
  2. Step 2: Convert to fraction form
    5,162.02/7,737 = 2,530.78/x
  3. Step 3: Cross multiply
    5,162.02x = 7,737 × 2,530.78
  4. Step 4: Simplify right side
    5,162.02x = 19,580,644.86
  5. Step 5: Solve for x
    x = 19,580,644.86/5,162.02
  6. Step 6: Final answer
    x = 3,793.21

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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.