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Finding the Fourth Proportional to 3,278.64, 4,527.72 and 2,803.78

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Solution

The fourth proportional to 3,278.64, 4,527.72 and 2,803.78 is: 3,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.64 : 4,527.72 = 2,803.78 : x
  2. Step 2: Convert to fraction form
    3,278.64/4,527.72 = 2,803.78/x
  3. Step 3: Cross multiply
    3,278.64x = 4,527.72 × 2,803.78
  4. Step 4: Simplify right side
    3,278.64x = 12,694,730.78
  5. Step 5: Solve for x
    x = 12,694,730.78/3,278.64
  6. Step 6: Final answer
    x = 3,871.95

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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.