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Finding the Fourth Proportional to 5,494.12, 7,581.89 and 2,976.24

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Solution

The fourth proportional to 5,494.12, 7,581.89 and 2,976.24 is: 4,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.12 : 7,581.89 = 2,976.24 : x
  2. Step 2: Convert to fraction form
    5,494.12/7,581.89 = 2,976.24/x
  3. Step 3: Cross multiply
    5,494.12x = 7,581.89 × 2,976.24
  4. Step 4: Simplify right side
    5,494.12x = 22,565,486.38
  5. Step 5: Solve for x
    x = 22,565,486.38/5,494.12
  6. Step 6: Final answer
    x = 4,107.21

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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.