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Finding the Fourth Proportional to 5,227,757.60, 7,837,489.20 and 2,863,853.60

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Solution

The fourth proportional to 5,227,757.60, 7,837,489.20 and 2,863,853.60 is: 4,293,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227,757.60 : 7,837,489.20 = 2,863,853.60 : x
  2. Step 2: Convert to fraction form
    5,227,757.60/7,837,489.20 = 2,863,853.60/x
  3. Step 3: Cross multiply
    5,227,757.60x = 7,837,489.20 × 2,863,853.60
  4. Step 4: Simplify right side
    5,227,757.60x = 22,445,421,660,381.12
  5. Step 5: Solve for x
    x = 22,445,421,660,381.12/5,227,757.60
  6. Step 6: Final answer
    x = 4,293,508.49

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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.