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Finding the Fourth Proportional to 3,987.75, 5,981.62 and 1,901.41

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Solution

The fourth proportional to 3,987.75, 5,981.62 and 1,901.41 is: 2,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.75 : 5,981.62 = 1,901.41 : x
  2. Step 2: Convert to fraction form
    3,987.75/5,981.62 = 1,901.41/x
  3. Step 3: Cross multiply
    3,987.75x = 5,981.62 × 1,901.41
  4. Step 4: Simplify right side
    3,987.75x = 11,373,512.08
  5. Step 5: Solve for x
    x = 11,373,512.08/3,987.75
  6. Step 6: Final answer
    x = 2,852.11

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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.