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Finding the Fourth Proportional to 5,498.82, 7,589.69 and 3,142.32

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Solution

The fourth proportional to 5,498.82, 7,589.69 and 3,142.32 is: 4,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.82 : 7,589.69 = 3,142.32 : x
  2. Step 2: Convert to fraction form
    5,498.82/7,589.69 = 3,142.32/x
  3. Step 3: Cross multiply
    5,498.82x = 7,589.69 × 3,142.32
  4. Step 4: Simplify right side
    5,498.82x = 23,849,234.68
  5. Step 5: Solve for x
    x = 23,849,234.68/5,498.82
  6. Step 6: Final answer
    x = 4,337.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.