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Finding the Fourth Proportional to 4,144.07, 5,718.78 and 2,281.07

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Solution

The fourth proportional to 4,144.07, 5,718.78 and 2,281.07 is: 3,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.07 : 5,718.78 = 2,281.07 : x
  2. Step 2: Convert to fraction form
    4,144.07/5,718.78 = 2,281.07/x
  3. Step 3: Cross multiply
    4,144.07x = 5,718.78 × 2,281.07
  4. Step 4: Simplify right side
    4,144.07x = 13,044,908.90
  5. Step 5: Solve for x
    x = 13,044,908.90/4,144.07
  6. Step 6: Final answer
    x = 3,147.85

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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.