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Finding the Fourth Proportional to 3,449.12, 4,760.16 and 2,052.32

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Solution

The fourth proportional to 3,449.12, 4,760.16 and 2,052.32 is: 2,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.12 : 4,760.16 = 2,052.32 : x
  2. Step 2: Convert to fraction form
    3,449.12/4,760.16 = 2,052.32/x
  3. Step 3: Cross multiply
    3,449.12x = 4,760.16 × 2,052.32
  4. Step 4: Simplify right side
    3,449.12x = 9,769,371.57
  5. Step 5: Solve for x
    x = 9,769,371.57/3,449.12
  6. Step 6: Final answer
    x = 2,832.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.