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Finding the Fourth Proportional to 5,097.68, 7,034.88 and 2,859.44

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Solution

The fourth proportional to 5,097.68, 7,034.88 and 2,859.44 is: 3,946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.68 : 7,034.88 = 2,859.44 : x
  2. Step 2: Convert to fraction form
    5,097.68/7,034.88 = 2,859.44/x
  3. Step 3: Cross multiply
    5,097.68x = 7,034.88 × 2,859.44
  4. Step 4: Simplify right side
    5,097.68x = 20,115,817.27
  5. Step 5: Solve for x
    x = 20,115,817.27/5,097.68
  6. Step 6: Final answer
    x = 3,946.07

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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.