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Finding the Fourth Proportional to 5,142.74, 7,097 and 2,784.88

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Solution

The fourth proportional to 5,142.74, 7,097 and 2,784.88 is: 3,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.74 : 7,097 = 2,784.88 : x
  2. Step 2: Convert to fraction form
    5,142.74/7,097 = 2,784.88/x
  3. Step 3: Cross multiply
    5,142.74x = 7,097 × 2,784.88
  4. Step 4: Simplify right side
    5,142.74x = 19,764,257.88
  5. Step 5: Solve for x
    x = 19,764,257.88/5,142.74
  6. Step 6: Final answer
    x = 3,843.14

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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.