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Finding the Fourth Proportional to 3,866,830.80, 5,791,411.26 and 1,846,489.92

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Solution

The fourth proportional to 3,866,830.80, 5,791,411.26 and 1,846,489.92 is: 2,765,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866,830.80 : 5,791,411.26 = 1,846,489.92 : x
  2. Step 2: Convert to fraction form
    3,866,830.80/5,791,411.26 = 1,846,489.92/x
  3. Step 3: Cross multiply
    3,866,830.80x = 5,791,411.26 × 1,846,489.92
  4. Step 4: Simplify right side
    3,866,830.80x = 10,693,782,514,164.50
  5. Step 5: Solve for x
    x = 10,693,782,514,164.50/3,866,830.80
  6. Step 6: Final answer
    x = 2,765,516.02

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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.