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Finding the Fourth Proportional to 3,832,762.82, 5,749,144.25 and 1,557,754.21

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Solution

The fourth proportional to 3,832,762.82, 5,749,144.25 and 1,557,754.21 is: 2,336,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832,762.82 : 5,749,144.25 = 1,557,754.21 : x
  2. Step 2: Convert to fraction form
    3,832,762.82/5,749,144.25 = 1,557,754.21/x
  3. Step 3: Cross multiply
    3,832,762.82x = 5,749,144.25 × 1,557,754.21
  4. Step 4: Simplify right side
    3,832,762.82x = 8,955,753,622,800.30
  5. Step 5: Solve for x
    x = 8,955,753,622,800.30/3,832,762.82
  6. Step 6: Final answer
    x = 2,336,631.31

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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.