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Finding the Fourth Proportional to 5,157,505.96, 7,737,469.07 and 5,071,819.30

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Solution

The fourth proportional to 5,157,505.96, 7,737,469.07 and 5,071,819.30 is: 7,608,918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157,505.96 : 7,737,469.07 = 5,071,819.30 : x
  2. Step 2: Convert to fraction form
    5,157,505.96/7,737,469.07 = 5,071,819.30/x
  3. Step 3: Cross multiply
    5,157,505.96x = 7,737,469.07 × 5,071,819.30
  4. Step 4: Simplify right side
    5,157,505.96x = 39,243,044,962,379.05
  5. Step 5: Solve for x
    x = 39,243,044,962,379.05/5,157,505.96
  6. Step 6: Final answer
    x = 7,608,918.97

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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.