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Finding the Fourth Proportional to 5,756.90, 8,635.66 and 1,861.61

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Solution

The fourth proportional to 5,756.90, 8,635.66 and 1,861.61 is: 2,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.90 : 8,635.66 = 1,861.61 : x
  2. Step 2: Convert to fraction form
    5,756.90/8,635.66 = 1,861.61/x
  3. Step 3: Cross multiply
    5,756.90x = 8,635.66 × 1,861.61
  4. Step 4: Simplify right side
    5,756.90x = 16,076,183.18
  5. Step 5: Solve for x
    x = 16,076,183.18/5,756.90
  6. Step 6: Final answer
    x = 2,792.51

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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.