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Finding the Fourth Proportional to 5,294.25, 7,293.33 and 4,454.96

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Solution

The fourth proportional to 5,294.25, 7,293.33 and 4,454.96 is: 6,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.25 : 7,293.33 = 4,454.96 : x
  2. Step 2: Convert to fraction form
    5,294.25/7,293.33 = 4,454.96/x
  3. Step 3: Cross multiply
    5,294.25x = 7,293.33 × 4,454.96
  4. Step 4: Simplify right side
    5,294.25x = 32,491,456.95
  5. Step 5: Solve for x
    x = 32,491,456.95/5,294.25
  6. Step 6: Final answer
    x = 6,137.12

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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.