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Finding the Fourth Proportional to 5,635.90, 7,769.34 and 3,952.24

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Solution

The fourth proportional to 5,635.90, 7,769.34 and 3,952.24 is: 5,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.90 : 7,769.34 = 3,952.24 : x
  2. Step 2: Convert to fraction form
    5,635.90/7,769.34 = 3,952.24/x
  3. Step 3: Cross multiply
    5,635.90x = 7,769.34 × 3,952.24
  4. Step 4: Simplify right side
    5,635.90x = 30,706,296.32
  5. Step 5: Solve for x
    x = 30,706,296.32/5,635.90
  6. Step 6: Final answer
    x = 5,448.34

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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.