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Finding the Fourth Proportional to 5,679.20, 7,836.72 and 5,261.24

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Solution

The fourth proportional to 5,679.20, 7,836.72 and 5,261.24 is: 7,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.20 : 7,836.72 = 5,261.24 : x
  2. Step 2: Convert to fraction form
    5,679.20/7,836.72 = 5,261.24/x
  3. Step 3: Cross multiply
    5,679.20x = 7,836.72 × 5,261.24
  4. Step 4: Simplify right side
    5,679.20x = 41,230,864.73
  5. Step 5: Solve for x
    x = 41,230,864.73/5,679.20
  6. Step 6: Final answer
    x = 7,259.98

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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.