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Finding the Fourth Proportional to 5,843,646.59, 8,765,469.90 and 1,583,814.83

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Solution

The fourth proportional to 5,843,646.59, 8,765,469.90 and 1,583,814.83 is: 2,375,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843,646.59 : 8,765,469.90 = 1,583,814.83 : x
  2. Step 2: Convert to fraction form
    5,843,646.59/8,765,469.90 = 1,583,814.83/x
  3. Step 3: Cross multiply
    5,843,646.59x = 8,765,469.90 × 1,583,814.83
  4. Step 4: Simplify right side
    5,843,646.59x = 13,882,881,175,711.27
  5. Step 5: Solve for x
    x = 13,882,881,175,711.27/5,843,646.59
  6. Step 6: Final answer
    x = 2,375,722.24

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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.