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Finding the Fourth Proportional to 5,714.82, 7,884.14 and 3,474.90

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Solution

The fourth proportional to 5,714.82, 7,884.14 and 3,474.90 is: 4,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.82 : 7,884.14 = 3,474.90 : x
  2. Step 2: Convert to fraction form
    5,714.82/7,884.14 = 3,474.90/x
  3. Step 3: Cross multiply
    5,714.82x = 7,884.14 × 3,474.90
  4. Step 4: Simplify right side
    5,714.82x = 27,396,580.71
  5. Step 5: Solve for x
    x = 27,396,580.71/5,714.82
  6. Step 6: Final answer
    x = 4,793.95

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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.