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Finding the Fourth Proportional to 3,428.88, 4,731.24 and 2,012.16

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Solution

The fourth proportional to 3,428.88, 4,731.24 and 2,012.16 is: 2,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.88 : 4,731.24 = 2,012.16 : x
  2. Step 2: Convert to fraction form
    3,428.88/4,731.24 = 2,012.16/x
  3. Step 3: Cross multiply
    3,428.88x = 4,731.24 × 2,012.16
  4. Step 4: Simplify right side
    3,428.88x = 9,520,011.88
  5. Step 5: Solve for x
    x = 9,520,011.88/3,428.88
  6. Step 6: Final answer
    x = 2,776.42

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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.