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Finding the Fourth Proportional to 4,462.63, 6,158.43 and 2,694.20

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Solution

The fourth proportional to 4,462.63, 6,158.43 and 2,694.20 is: 3,717.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.63 : 6,158.43 = 2,694.20 : x
  2. Step 2: Convert to fraction form
    4,462.63/6,158.43 = 2,694.20/x
  3. Step 3: Cross multiply
    4,462.63x = 6,158.43 × 2,694.20
  4. Step 4: Simplify right side
    4,462.63x = 16,592,011.31
  5. Step 5: Solve for x
    x = 16,592,011.31/4,462.63
  6. Step 6: Final answer
    x = 3,717.99

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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.