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Finding the Fourth Proportional to 3,648.92, 5,473.42 and 1,051.88

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Solution

The fourth proportional to 3,648.92, 5,473.42 and 1,051.88 is: 1,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.92 : 5,473.42 = 1,051.88 : x
  2. Step 2: Convert to fraction form
    3,648.92/5,473.42 = 1,051.88/x
  3. Step 3: Cross multiply
    3,648.92x = 5,473.42 × 1,051.88
  4. Step 4: Simplify right side
    3,648.92x = 5,757,351.03
  5. Step 5: Solve for x
    x = 5,757,351.03/3,648.92
  6. Step 6: Final answer
    x = 1,577.83

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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.