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Finding the Fourth Proportional to 5,695.85, 7,856.97 and 3,425.61

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Solution

The fourth proportional to 5,695.85, 7,856.97 and 3,425.61 is: 4,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.85 : 7,856.97 = 3,425.61 : x
  2. Step 2: Convert to fraction form
    5,695.85/7,856.97 = 3,425.61/x
  3. Step 3: Cross multiply
    5,695.85x = 7,856.97 × 3,425.61
  4. Step 4: Simplify right side
    5,695.85x = 26,914,915.00
  5. Step 5: Solve for x
    x = 26,914,915.00/5,695.85
  6. Step 6: Final answer
    x = 4,725.36

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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.