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Finding the Fourth Proportional to 4,549.67, 6,825.15 and 2,207.75

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Solution

The fourth proportional to 4,549.67, 6,825.15 and 2,207.75 is: 3,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.67 : 6,825.15 = 2,207.75 : x
  2. Step 2: Convert to fraction form
    4,549.67/6,825.15 = 2,207.75/x
  3. Step 3: Cross multiply
    4,549.67x = 6,825.15 × 2,207.75
  4. Step 4: Simplify right side
    4,549.67x = 15,068,224.91
  5. Step 5: Solve for x
    x = 15,068,224.91/4,549.67
  6. Step 6: Final answer
    x = 3,311.94

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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.