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Finding the Fourth Proportional to 5,027.71, 7,542.65 and 1,696.29

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Solution

The fourth proportional to 5,027.71, 7,542.65 and 1,696.29 is: 2,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.71 : 7,542.65 = 1,696.29 : x
  2. Step 2: Convert to fraction form
    5,027.71/7,542.65 = 1,696.29/x
  3. Step 3: Cross multiply
    5,027.71x = 7,542.65 × 1,696.29
  4. Step 4: Simplify right side
    5,027.71x = 12,794,551.11
  5. Step 5: Solve for x
    x = 12,794,551.11/5,027.71
  6. Step 6: Final answer
    x = 2,544.81

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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.