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Finding the Fourth Proportional to 3,278.64, 4,908.24 and 3,012.96

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Solution

The fourth proportional to 3,278.64, 4,908.24 and 3,012.96 is: 4,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.64 : 4,908.24 = 3,012.96 : x
  2. Step 2: Convert to fraction form
    3,278.64/4,908.24 = 3,012.96/x
  3. Step 3: Cross multiply
    3,278.64x = 4,908.24 × 3,012.96
  4. Step 4: Simplify right side
    3,278.64x = 14,788,330.79
  5. Step 5: Solve for x
    x = 14,788,330.79/3,278.64
  6. Step 6: Final answer
    x = 4,510.51

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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.