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Finding the Fourth Proportional to 5,233.31, 7,843.10 and 4,537.11

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Solution

The fourth proportional to 5,233.31, 7,843.10 and 4,537.11 is: 6,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.31 : 7,843.10 = 4,537.11 : x
  2. Step 2: Convert to fraction form
    5,233.31/7,843.10 = 4,537.11/x
  3. Step 3: Cross multiply
    5,233.31x = 7,843.10 × 4,537.11
  4. Step 4: Simplify right side
    5,233.31x = 35,585,014.17
  5. Step 5: Solve for x
    x = 35,585,014.17/5,233.31
  6. Step 6: Final answer
    x = 6,799.72

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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.