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Finding the Fourth Proportional to 5,498.75, 7,589.64 and 3,142.28

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Solution

The fourth proportional to 5,498.75, 7,589.64 and 3,142.28 is: 4,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.75 : 7,589.64 = 3,142.28 : x
  2. Step 2: Convert to fraction form
    5,498.75/7,589.64 = 3,142.28/x
  3. Step 3: Cross multiply
    5,498.75x = 7,589.64 × 3,142.28
  4. Step 4: Simplify right side
    5,498.75x = 23,848,773.98
  5. Step 5: Solve for x
    x = 23,848,773.98/5,498.75
  6. Step 6: Final answer
    x = 4,337.13

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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.