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Finding the Fourth Proportional to 6,344.20, 9,510.82 and 3,052.76

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Solution

The fourth proportional to 6,344.20, 9,510.82 and 3,052.76 is: 4,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.20 : 9,510.82 = 3,052.76 : x
  2. Step 2: Convert to fraction form
    6,344.20/9,510.82 = 3,052.76/x
  3. Step 3: Cross multiply
    6,344.20x = 9,510.82 × 3,052.76
  4. Step 4: Simplify right side
    6,344.20x = 29,034,258.50
  5. Step 5: Solve for x
    x = 29,034,258.50/6,344.20
  6. Step 6: Final answer
    x = 4,576.51

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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.