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Finding the Fourth Proportional to 5,116.59, 7,672.85 and 1,996.16

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Solution

The fourth proportional to 5,116.59, 7,672.85 and 1,996.16 is: 2,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.59 : 7,672.85 = 1,996.16 : x
  2. Step 2: Convert to fraction form
    5,116.59/7,672.85 = 1,996.16/x
  3. Step 3: Cross multiply
    5,116.59x = 7,672.85 × 1,996.16
  4. Step 4: Simplify right side
    5,116.59x = 15,316,187.91
  5. Step 5: Solve for x
    x = 15,316,187.91/5,116.59
  6. Step 6: Final answer
    x = 2,993.44

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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.