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Finding the Fourth Proportional to 5,717.80, 8,576.70 and 2,024.20

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Solution

The fourth proportional to 5,717.80, 8,576.70 and 2,024.20 is: 3,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.80 : 8,576.70 = 2,024.20 : x
  2. Step 2: Convert to fraction form
    5,717.80/8,576.70 = 2,024.20/x
  3. Step 3: Cross multiply
    5,717.80x = 8,576.70 × 2,024.20
  4. Step 4: Simplify right side
    5,717.80x = 17,360,956.14
  5. Step 5: Solve for x
    x = 17,360,956.14/5,717.80
  6. Step 6: Final answer
    x = 3,036.30

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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.