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Finding the Fourth Proportional to 5,717.61, 8,576.16 and 1,768.70

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Solution

The fourth proportional to 5,717.61, 8,576.16 and 1,768.70 is: 2,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.61 : 8,576.16 = 1,768.70 : x
  2. Step 2: Convert to fraction form
    5,717.61/8,576.16 = 1,768.70/x
  3. Step 3: Cross multiply
    5,717.61x = 8,576.16 × 1,768.70
  4. Step 4: Simplify right side
    5,717.61x = 15,168,654.19
  5. Step 5: Solve for x
    x = 15,168,654.19/5,717.61
  6. Step 6: Final answer
    x = 2,652.97

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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.