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Finding the Fourth Proportional to 4,549.75, 6,278.19 and 2,560.27

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Solution

The fourth proportional to 4,549.75, 6,278.19 and 2,560.27 is: 3,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.75 : 6,278.19 = 2,560.27 : x
  2. Step 2: Convert to fraction form
    4,549.75/6,278.19 = 2,560.27/x
  3. Step 3: Cross multiply
    4,549.75x = 6,278.19 × 2,560.27
  4. Step 4: Simplify right side
    4,549.75x = 16,073,861.51
  5. Step 5: Solve for x
    x = 16,073,861.51/4,549.75
  6. Step 6: Final answer
    x = 3,532.91

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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.