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Finding the Fourth Proportional to 5,171.78, 7,758.59 and 2,252.14

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Solution

The fourth proportional to 5,171.78, 7,758.59 and 2,252.14 is: 3,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.78 : 7,758.59 = 2,252.14 : x
  2. Step 2: Convert to fraction form
    5,171.78/7,758.59 = 2,252.14/x
  3. Step 3: Cross multiply
    5,171.78x = 7,758.59 × 2,252.14
  4. Step 4: Simplify right side
    5,171.78x = 17,473,400.23
  5. Step 5: Solve for x
    x = 17,473,400.23/5,171.78
  6. Step 6: Final answer
    x = 3,378.60

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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.