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Finding the Fourth Proportional to 5,643,149.88, 7,787,560.56 and 3,064,775.28

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Solution

The fourth proportional to 5,643,149.88, 7,787,560.56 and 3,064,775.28 is: 4,229,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643,149.88 : 7,787,560.56 = 3,064,775.28 : x
  2. Step 2: Convert to fraction form
    5,643,149.88/7,787,560.56 = 3,064,775.28/x
  3. Step 3: Cross multiply
    5,643,149.88x = 7,787,560.56 × 3,064,775.28
  4. Step 4: Simplify right side
    5,643,149.88x = 23,867,123,095,790.95
  5. Step 5: Solve for x
    x = 23,867,123,095,790.95/5,643,149.88
  6. Step 6: Final answer
    x = 4,229,397.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.