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Finding the Fourth Proportional to 4,285.14, 5,913.10 and 2,713.20

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Solution

The fourth proportional to 4,285.14, 5,913.10 and 2,713.20 is: 3,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.14 : 5,913.10 = 2,713.20 : x
  2. Step 2: Convert to fraction form
    4,285.14/5,913.10 = 2,713.20/x
  3. Step 3: Cross multiply
    4,285.14x = 5,913.10 × 2,713.20
  4. Step 4: Simplify right side
    4,285.14x = 16,043,422.92
  5. Step 5: Solve for x
    x = 16,043,422.92/4,285.14
  6. Step 6: Final answer
    x = 3,743.97

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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.