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Finding the Fourth Proportional to 5,189,891.82, 7,786,258.02 and 2,496,470.10

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Solution

The fourth proportional to 5,189,891.82, 7,786,258.02 and 2,496,470.10 is: 3,745,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189,891.82 : 7,786,258.02 = 2,496,470.10 : x
  2. Step 2: Convert to fraction form
    5,189,891.82/7,786,258.02 = 2,496,470.10/x
  3. Step 3: Cross multiply
    5,189,891.82x = 7,786,258.02 × 2,496,470.10
  4. Step 4: Simplify right side
    5,189,891.82x = 19,438,160,337,815.20
  5. Step 5: Solve for x
    x = 19,438,160,337,815.20/5,189,891.82
  6. Step 6: Final answer
    x = 3,745,388.35

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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.