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Finding the Fourth Proportional to 3,532.15, 4,874.16 and 1,960.25

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Solution

The fourth proportional to 3,532.15, 4,874.16 and 1,960.25 is: 2,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.15 : 4,874.16 = 1,960.25 : x
  2. Step 2: Convert to fraction form
    3,532.15/4,874.16 = 1,960.25/x
  3. Step 3: Cross multiply
    3,532.15x = 4,874.16 × 1,960.25
  4. Step 4: Simplify right side
    3,532.15x = 9,554,537.97
  5. Step 5: Solve for x
    x = 9,554,537.97/3,532.15
  6. Step 6: Final answer
    x = 2,705.02

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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.