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Finding the Fourth Proportional to 5,807.20, 8,711.22 and 4,422.76

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Solution

The fourth proportional to 5,807.20, 8,711.22 and 4,422.76 is: 6,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.20 : 8,711.22 = 4,422.76 : x
  2. Step 2: Convert to fraction form
    5,807.20/8,711.22 = 4,422.76/x
  3. Step 3: Cross multiply
    5,807.20x = 8,711.22 × 4,422.76
  4. Step 4: Simplify right side
    5,807.20x = 38,527,635.37
  5. Step 5: Solve for x
    x = 38,527,635.37/5,807.20
  6. Step 6: Final answer
    x = 6,634.46

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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.