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Finding the Fourth Proportional to 5,489.12, 7,524.14 and 5,415.28

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Solution

The fourth proportional to 5,489.12, 7,524.14 and 5,415.28 is: 7,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.12 : 7,524.14 = 5,415.28 : x
  2. Step 2: Convert to fraction form
    5,489.12/7,524.14 = 5,415.28/x
  3. Step 3: Cross multiply
    5,489.12x = 7,524.14 × 5,415.28
  4. Step 4: Simplify right side
    5,489.12x = 40,745,324.86
  5. Step 5: Solve for x
    x = 40,745,324.86/5,489.12
  6. Step 6: Final answer
    x = 7,422.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.