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Finding the Fourth Proportional to 3,888.14, 5,829.18 and 1,422.71

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Solution

The fourth proportional to 3,888.14, 5,829.18 and 1,422.71 is: 2,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.14 : 5,829.18 = 1,422.71 : x
  2. Step 2: Convert to fraction form
    3,888.14/5,829.18 = 1,422.71/x
  3. Step 3: Cross multiply
    3,888.14x = 5,829.18 × 1,422.71
  4. Step 4: Simplify right side
    3,888.14x = 8,293,232.68
  5. Step 5: Solve for x
    x = 8,293,232.68/3,888.14
  6. Step 6: Final answer
    x = 2,132.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.