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Finding the Fourth Proportional to 5,689, 7,852.26 and 3,206.44

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Solution

The fourth proportional to 5,689, 7,852.26 and 3,206.44 is: 4,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689 : 7,852.26 = 3,206.44 : x
  2. Step 2: Convert to fraction form
    5,689/7,852.26 = 3,206.44/x
  3. Step 3: Cross multiply
    5,689x = 7,852.26 × 3,206.44
  4. Step 4: Simplify right side
    5,689x = 25,177,800.55
  5. Step 5: Solve for x
    x = 25,177,800.55/5,689
  6. Step 6: Final answer
    x = 4,425.70

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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.