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Finding the Fourth Proportional to 5,711,542.82, 7,881,890.09 and 3,098,036.41

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Solution

The fourth proportional to 5,711,542.82, 7,881,890.09 and 3,098,036.41 is: 4,275,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711,542.82 : 7,881,890.09 = 3,098,036.41 : x
  2. Step 2: Convert to fraction form
    5,711,542.82/7,881,890.09 = 3,098,036.41/x
  3. Step 3: Cross multiply
    5,711,542.82x = 7,881,890.09 × 3,098,036.41
  4. Step 4: Simplify right side
    5,711,542.82x = 24,418,382,487,578.90
  5. Step 5: Solve for x
    x = 24,418,382,487,578.90/5,711,542.82
  6. Step 6: Final answer
    x = 4,275,269.09

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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.