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Finding the Fourth Proportional to 5,233.88, 7,854.72 and 3,262.38

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Solution

The fourth proportional to 5,233.88, 7,854.72 and 3,262.38 is: 4,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.88 : 7,854.72 = 3,262.38 : x
  2. Step 2: Convert to fraction form
    5,233.88/7,854.72 = 3,262.38/x
  3. Step 3: Cross multiply
    5,233.88x = 7,854.72 × 3,262.38
  4. Step 4: Simplify right side
    5,233.88x = 25,625,081.43
  5. Step 5: Solve for x
    x = 25,625,081.43/5,233.88
  6. Step 6: Final answer
    x = 4,896.01

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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.