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Finding the Fourth Proportional to 5,766.34, 8,650.78 and 2,071.24

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Solution

The fourth proportional to 5,766.34, 8,650.78 and 2,071.24 is: 3,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.34 : 8,650.78 = 2,071.24 : x
  2. Step 2: Convert to fraction form
    5,766.34/8,650.78 = 2,071.24/x
  3. Step 3: Cross multiply
    5,766.34x = 8,650.78 × 2,071.24
  4. Step 4: Simplify right side
    5,766.34x = 17,917,841.57
  5. Step 5: Solve for x
    x = 17,917,841.57/5,766.34
  6. Step 6: Final answer
    x = 3,107.32

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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.