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Finding the Fourth Proportional to 5,194.68, 7,168.76 and 2,837.18

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Solution

The fourth proportional to 5,194.68, 7,168.76 and 2,837.18 is: 3,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.68 : 7,168.76 = 2,837.18 : x
  2. Step 2: Convert to fraction form
    5,194.68/7,168.76 = 2,837.18/x
  3. Step 3: Cross multiply
    5,194.68x = 7,168.76 × 2,837.18
  4. Step 4: Simplify right side
    5,194.68x = 20,339,012.47
  5. Step 5: Solve for x
    x = 20,339,012.47/5,194.68
  6. Step 6: Final answer
    x = 3,915.35

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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.