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Finding the Fourth Proportional to 5,200,392.26, 7,799,065.01 and 1,959,591.78

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Solution

The fourth proportional to 5,200,392.26, 7,799,065.01 and 1,959,591.78 is: 2,938,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,392.26 : 7,799,065.01 = 1,959,591.78 : x
  2. Step 2: Convert to fraction form
    5,200,392.26/7,799,065.01 = 1,959,591.78/x
  3. Step 3: Cross multiply
    5,200,392.26x = 7,799,065.01 × 1,959,591.78
  4. Step 4: Simplify right side
    5,200,392.26x = 15,282,983,675,483.66
  5. Step 5: Solve for x
    x = 15,282,983,675,483.66/5,200,392.26
  6. Step 6: Final answer
    x = 2,938,813.64

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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.