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Finding the Fourth Proportional to 5,788,663.16, 7,987,298.54 and 3,340,380.84

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Solution

The fourth proportional to 5,788,663.16, 7,987,298.54 and 3,340,380.84 is: 4,609,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788,663.16 : 7,987,298.54 = 3,340,380.84 : x
  2. Step 2: Convert to fraction form
    5,788,663.16/7,987,298.54 = 3,340,380.84/x
  3. Step 3: Cross multiply
    5,788,663.16x = 7,987,298.54 × 3,340,380.84
  4. Step 4: Simplify right side
    5,788,663.16x = 26,680,619,006,375.97
  5. Step 5: Solve for x
    x = 26,680,619,006,375.97/5,788,663.16
  6. Step 6: Final answer
    x = 4,609,115.83

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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.