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Finding the Fourth Proportional to 5,734,843.97, 7,910,055.45 and 3,774,097.32

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Solution

The fourth proportional to 5,734,843.97, 7,910,055.45 and 3,774,097.32 is: 5,205,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734,843.97 : 7,910,055.45 = 3,774,097.32 : x
  2. Step 2: Convert to fraction form
    5,734,843.97/7,910,055.45 = 3,774,097.32/x
  3. Step 3: Cross multiply
    5,734,843.97x = 7,910,055.45 × 3,774,097.32
  4. Step 4: Simplify right side
    5,734,843.97x = 29,853,319,074,896.39
  5. Step 5: Solve for x
    x = 29,853,319,074,896.39/5,734,843.97
  6. Step 6: Final answer
    x = 5,205,602.67

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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.