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Finding the Fourth Proportional to 5,862.29, 8,093.72 and 5,231.72

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Solution

The fourth proportional to 5,862.29, 8,093.72 and 5,231.72 is: 7,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.29 : 8,093.72 = 5,231.72 : x
  2. Step 2: Convert to fraction form
    5,862.29/8,093.72 = 5,231.72/x
  3. Step 3: Cross multiply
    5,862.29x = 8,093.72 × 5,231.72
  4. Step 4: Simplify right side
    5,862.29x = 42,344,010.17
  5. Step 5: Solve for x
    x = 42,344,010.17/5,862.29
  6. Step 6: Final answer
    x = 7,223.12

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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.