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Finding the Fourth Proportional to 3,882,167.75, 5,823,251.69 and 1,186,500.71

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Solution

The fourth proportional to 3,882,167.75, 5,823,251.69 and 1,186,500.71 is: 1,779,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882,167.75 : 5,823,251.69 = 1,186,500.71 : x
  2. Step 2: Convert to fraction form
    3,882,167.75/5,823,251.69 = 1,186,500.71/x
  3. Step 3: Cross multiply
    3,882,167.75x = 5,823,251.69 × 1,186,500.71
  4. Step 4: Simplify right side
    3,882,167.75x = 6,909,292,229,644.94
  5. Step 5: Solve for x
    x = 6,909,292,229,644.94/3,882,167.75
  6. Step 6: Final answer
    x = 1,779,751.08

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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.