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Finding the Fourth Proportional to 5,704.40, 7,865.16 and 3,933.20

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Solution

The fourth proportional to 5,704.40, 7,865.16 and 3,933.20 is: 5,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.40 : 7,865.16 = 3,933.20 : x
  2. Step 2: Convert to fraction form
    5,704.40/7,865.16 = 3,933.20/x
  3. Step 3: Cross multiply
    5,704.40x = 7,865.16 × 3,933.20
  4. Step 4: Simplify right side
    5,704.40x = 30,935,247.31
  5. Step 5: Solve for x
    x = 30,935,247.31/5,704.40
  6. Step 6: Final answer
    x = 5,423.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.