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Finding the Fourth Proportional to 5,506.64, 8,248.92 and 3,314.12

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Solution

The fourth proportional to 5,506.64, 8,248.92 and 3,314.12 is: 4,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.64 : 8,248.92 = 3,314.12 : x
  2. Step 2: Convert to fraction form
    5,506.64/8,248.92 = 3,314.12/x
  3. Step 3: Cross multiply
    5,506.64x = 8,248.92 × 3,314.12
  4. Step 4: Simplify right side
    5,506.64x = 27,337,910.75
  5. Step 5: Solve for x
    x = 27,337,910.75/5,506.64
  6. Step 6: Final answer
    x = 4,964.54

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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.