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Finding the Fourth Proportional to 3,959.40, 5,462.96 and 2,280.42

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Solution

The fourth proportional to 3,959.40, 5,462.96 and 2,280.42 is: 3,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.40 : 5,462.96 = 2,280.42 : x
  2. Step 2: Convert to fraction form
    3,959.40/5,462.96 = 2,280.42/x
  3. Step 3: Cross multiply
    3,959.40x = 5,462.96 × 2,280.42
  4. Step 4: Simplify right side
    3,959.40x = 12,457,843.24
  5. Step 5: Solve for x
    x = 12,457,843.24/3,959.40
  6. Step 6: Final answer
    x = 3,146.40

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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.