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Finding the Fourth Proportional to 5,693.38, 8,543.31 and 4,546.42

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Solution

The fourth proportional to 5,693.38, 8,543.31 and 4,546.42 is: 6,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.38 : 8,543.31 = 4,546.42 : x
  2. Step 2: Convert to fraction form
    5,693.38/8,543.31 = 4,546.42/x
  3. Step 3: Cross multiply
    5,693.38x = 8,543.31 × 4,546.42
  4. Step 4: Simplify right side
    5,693.38x = 38,841,437.04
  5. Step 5: Solve for x
    x = 38,841,437.04/5,693.38
  6. Step 6: Final answer
    x = 6,822.21

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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.