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Finding the Fourth Proportional to 3,424.25, 4,725.62 and 2,098.02

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Solution

The fourth proportional to 3,424.25, 4,725.62 and 2,098.02 is: 2,895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.25 : 4,725.62 = 2,098.02 : x
  2. Step 2: Convert to fraction form
    3,424.25/4,725.62 = 2,098.02/x
  3. Step 3: Cross multiply
    3,424.25x = 4,725.62 × 2,098.02
  4. Step 4: Simplify right side
    3,424.25x = 9,914,450.52
  5. Step 5: Solve for x
    x = 9,914,450.52/3,424.25
  6. Step 6: Final answer
    x = 2,895.37

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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.