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Finding the Fourth Proportional to 5,695.71, 7,857.70 and 3,456.73

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Solution

The fourth proportional to 5,695.71, 7,857.70 and 3,456.73 is: 4,768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.71 : 7,857.70 = 3,456.73 : x
  2. Step 2: Convert to fraction form
    5,695.71/7,857.70 = 3,456.73/x
  3. Step 3: Cross multiply
    5,695.71x = 7,857.70 × 3,456.73
  4. Step 4: Simplify right side
    5,695.71x = 27,161,947.32
  5. Step 5: Solve for x
    x = 27,161,947.32/5,695.71
  6. Step 6: Final answer
    x = 4,768.84

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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.