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Finding the Fourth Proportional to 3,681.40, 5,524.83 and 1,734.97

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Solution

The fourth proportional to 3,681.40, 5,524.83 and 1,734.97 is: 2,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.40 : 5,524.83 = 1,734.97 : x
  2. Step 2: Convert to fraction form
    3,681.40/5,524.83 = 1,734.97/x
  3. Step 3: Cross multiply
    3,681.40x = 5,524.83 × 1,734.97
  4. Step 4: Simplify right side
    3,681.40x = 9,585,414.31
  5. Step 5: Solve for x
    x = 9,585,414.31/3,681.40
  6. Step 6: Final answer
    x = 2,603.74

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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.