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Finding the Fourth Proportional to 3,417.25, 5,127.09 and 1,687.09

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Solution

The fourth proportional to 3,417.25, 5,127.09 and 1,687.09 is: 2,531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.25 : 5,127.09 = 1,687.09 : x
  2. Step 2: Convert to fraction form
    3,417.25/5,127.09 = 1,687.09/x
  3. Step 3: Cross multiply
    3,417.25x = 5,127.09 × 1,687.09
  4. Step 4: Simplify right side
    3,417.25x = 8,649,862.27
  5. Step 5: Solve for x
    x = 8,649,862.27/3,417.25
  6. Step 6: Final answer
    x = 2,531.23

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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.