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Finding the Fourth Proportional to 5,766.86, 8,650.29 and 4,126.61

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Solution

The fourth proportional to 5,766.86, 8,650.29 and 4,126.61 is: 6,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.86 : 8,650.29 = 4,126.61 : x
  2. Step 2: Convert to fraction form
    5,766.86/8,650.29 = 4,126.61/x
  3. Step 3: Cross multiply
    5,766.86x = 8,650.29 × 4,126.61
  4. Step 4: Simplify right side
    5,766.86x = 35,696,319.65
  5. Step 5: Solve for x
    x = 35,696,319.65/5,766.86
  6. Step 6: Final answer
    x = 6,189.91

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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.