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Finding the Fourth Proportional to 5,825.29, 8,729.30 and 4,278.73

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Solution

The fourth proportional to 5,825.29, 8,729.30 and 4,278.73 is: 6,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.29 : 8,729.30 = 4,278.73 : x
  2. Step 2: Convert to fraction form
    5,825.29/8,729.30 = 4,278.73/x
  3. Step 3: Cross multiply
    5,825.29x = 8,729.30 × 4,278.73
  4. Step 4: Simplify right side
    5,825.29x = 37,350,296.40
  5. Step 5: Solve for x
    x = 37,350,296.40/5,825.29
  6. Step 6: Final answer
    x = 6,411.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.