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Finding the Fourth Proportional to 5,466.85, 8,207.17 and 4,553.57

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Solution

The fourth proportional to 5,466.85, 8,207.17 and 4,553.57 is: 6,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.85 : 8,207.17 = 4,553.57 : x
  2. Step 2: Convert to fraction form
    5,466.85/8,207.17 = 4,553.57/x
  3. Step 3: Cross multiply
    5,466.85x = 8,207.17 × 4,553.57
  4. Step 4: Simplify right side
    5,466.85x = 37,371,932.23
  5. Step 5: Solve for x
    x = 37,371,932.23/5,466.85
  6. Step 6: Final answer
    x = 6,836.10

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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.