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Finding the Fourth Proportional to 3,469.25, 4,787.47 and 1,897.31

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Solution

The fourth proportional to 3,469.25, 4,787.47 and 1,897.31 is: 2,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.25 : 4,787.47 = 1,897.31 : x
  2. Step 2: Convert to fraction form
    3,469.25/4,787.47 = 1,897.31/x
  3. Step 3: Cross multiply
    3,469.25x = 4,787.47 × 1,897.31
  4. Step 4: Simplify right side
    3,469.25x = 9,083,329.05
  5. Step 5: Solve for x
    x = 9,083,329.05/3,469.25
  6. Step 6: Final answer
    x = 2,618.24

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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.