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Finding the Fourth Proportional to 3,959.88, 5,464.16 and 2,281.83

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Solution

The fourth proportional to 3,959.88, 5,464.16 and 2,281.83 is: 3,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.88 : 5,464.16 = 2,281.83 : x
  2. Step 2: Convert to fraction form
    3,959.88/5,464.16 = 2,281.83/x
  3. Step 3: Cross multiply
    3,959.88x = 5,464.16 × 2,281.83
  4. Step 4: Simplify right side
    3,959.88x = 12,468,284.21
  5. Step 5: Solve for x
    x = 12,468,284.21/3,959.88
  6. Step 6: Final answer
    x = 3,148.65

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1.5x scale

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.