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Finding the Fourth Proportional to 5,843,646.62, 8,765,469.91 and 1,583,814.84

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Solution

The fourth proportional to 5,843,646.62, 8,765,469.91 and 1,583,814.84 is: 2,375,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843,646.62 : 8,765,469.91 = 1,583,814.84 : x
  2. Step 2: Convert to fraction form
    5,843,646.62/8,765,469.91 = 1,583,814.84/x
  3. Step 3: Cross multiply
    5,843,646.62x = 8,765,469.91 × 1,583,814.84
  4. Step 4: Simplify right side
    5,843,646.62x = 13,882,881,292,140.72
  5. Step 5: Solve for x
    x = 13,882,881,292,140.72/5,843,646.62
  6. Step 6: Final answer
    x = 2,375,722.25

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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.