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Finding the Fourth Proportional to 3,538.62, 4,883.28 and 1,966.71

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Solution

The fourth proportional to 3,538.62, 4,883.28 and 1,966.71 is: 2,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.62 : 4,883.28 = 1,966.71 : x
  2. Step 2: Convert to fraction form
    3,538.62/4,883.28 = 1,966.71/x
  3. Step 3: Cross multiply
    3,538.62x = 4,883.28 × 1,966.71
  4. Step 4: Simplify right side
    3,538.62x = 9,603,995.61
  5. Step 5: Solve for x
    x = 9,603,995.61/3,538.62
  6. Step 6: Final answer
    x = 2,714.05

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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.