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Finding the Fourth Proportional to 5,301.40, 7,952.10 and 4,199.80

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Solution

The fourth proportional to 5,301.40, 7,952.10 and 4,199.80 is: 6,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.40 : 7,952.10 = 4,199.80 : x
  2. Step 2: Convert to fraction form
    5,301.40/7,952.10 = 4,199.80/x
  3. Step 3: Cross multiply
    5,301.40x = 7,952.10 × 4,199.80
  4. Step 4: Simplify right side
    5,301.40x = 33,397,229.58
  5. Step 5: Solve for x
    x = 33,397,229.58/5,301.40
  6. Step 6: Final answer
    x = 6,299.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.