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Finding the Fourth Proportional to 4,196.85, 5,792.13 and 2,518.80

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Solution

The fourth proportional to 4,196.85, 5,792.13 and 2,518.80 is: 3,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.85 : 5,792.13 = 2,518.80 : x
  2. Step 2: Convert to fraction form
    4,196.85/5,792.13 = 2,518.80/x
  3. Step 3: Cross multiply
    4,196.85x = 5,792.13 × 2,518.80
  4. Step 4: Simplify right side
    4,196.85x = 14,589,217.04
  5. Step 5: Solve for x
    x = 14,589,217.04/4,196.85
  6. Step 6: Final answer
    x = 3,476.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.