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Finding the Fourth Proportional to 3,919.95, 5,877.56 and 1,840.41

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Solution

The fourth proportional to 3,919.95, 5,877.56 and 1,840.41 is: 2,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.95 : 5,877.56 = 1,840.41 : x
  2. Step 2: Convert to fraction form
    3,919.95/5,877.56 = 1,840.41/x
  3. Step 3: Cross multiply
    3,919.95x = 5,877.56 × 1,840.41
  4. Step 4: Simplify right side
    3,919.95x = 10,817,120.20
  5. Step 5: Solve for x
    x = 10,817,120.20/3,919.95
  6. Step 6: Final answer
    x = 2,759.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.