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Finding the Fourth Proportional to 5,704.80, 7,856.84 and 5,296.56

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Solution

The fourth proportional to 5,704.80, 7,856.84 and 5,296.56 is: 7,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.80 : 7,856.84 = 5,296.56 : x
  2. Step 2: Convert to fraction form
    5,704.80/7,856.84 = 5,296.56/x
  3. Step 3: Cross multiply
    5,704.80x = 7,856.84 × 5,296.56
  4. Step 4: Simplify right side
    5,704.80x = 41,614,224.47
  5. Step 5: Solve for x
    x = 41,614,224.47/5,704.80
  6. Step 6: Final answer
    x = 7,294.60

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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.