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Finding the Fourth Proportional to 4,147.88, 5,724.07 and 2,284.88

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Solution

The fourth proportional to 4,147.88, 5,724.07 and 2,284.88 is: 3,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.88 : 5,724.07 = 2,284.88 : x
  2. Step 2: Convert to fraction form
    4,147.88/5,724.07 = 2,284.88/x
  3. Step 3: Cross multiply
    4,147.88x = 5,724.07 × 2,284.88
  4. Step 4: Simplify right side
    4,147.88x = 13,078,778.73
  5. Step 5: Solve for x
    x = 13,078,778.73/4,147.88
  6. Step 6: Final answer
    x = 3,153.13

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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.