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Finding the Fourth Proportional to 5,734,843.85, 7,910,055.27 and 3,774,097.20

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Solution

The fourth proportional to 5,734,843.85, 7,910,055.27 and 3,774,097.20 is: 5,205,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734,843.85 : 7,910,055.27 = 3,774,097.20 : x
  2. Step 2: Convert to fraction form
    5,734,843.85/7,910,055.27 = 3,774,097.20/x
  3. Step 3: Cross multiply
    5,734,843.85x = 7,910,055.27 × 3,774,097.20
  4. Step 4: Simplify right side
    5,734,843.85x = 29,853,317,446,352.24
  5. Step 5: Solve for x
    x = 29,853,317,446,352.24/5,734,843.85
  6. Step 6: Final answer
    x = 5,205,602.50

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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.