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Finding the Fourth Proportional to 3,537.54, 5,304.78 and 1,781.46

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Solution

The fourth proportional to 3,537.54, 5,304.78 and 1,781.46 is: 2,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.54 : 5,304.78 = 1,781.46 : x
  2. Step 2: Convert to fraction form
    3,537.54/5,304.78 = 1,781.46/x
  3. Step 3: Cross multiply
    3,537.54x = 5,304.78 × 1,781.46
  4. Step 4: Simplify right side
    3,537.54x = 9,450,253.38
  5. Step 5: Solve for x
    x = 9,450,253.38/3,537.54
  6. Step 6: Final answer
    x = 2,671.42

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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.