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Finding the Fourth Proportional to 5,708.77, 8,564.30 and 2,013.62

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Solution

The fourth proportional to 5,708.77, 8,564.30 and 2,013.62 is: 3,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.77 : 8,564.30 = 2,013.62 : x
  2. Step 2: Convert to fraction form
    5,708.77/8,564.30 = 2,013.62/x
  3. Step 3: Cross multiply
    5,708.77x = 8,564.30 × 2,013.62
  4. Step 4: Simplify right side
    5,708.77x = 17,245,229.39
  5. Step 5: Solve for x
    x = 17,245,229.39/5,708.77
  6. Step 6: Final answer
    x = 3,020.83

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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.