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Finding the Fourth Proportional to 3,918.95, 5,876.06 and 1,839.41

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Solution

The fourth proportional to 3,918.95, 5,876.06 and 1,839.41 is: 2,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.95 : 5,876.06 = 1,839.41 : x
  2. Step 2: Convert to fraction form
    3,918.95/5,876.06 = 1,839.41/x
  3. Step 3: Cross multiply
    3,918.95x = 5,876.06 × 1,839.41
  4. Step 4: Simplify right side
    3,918.95x = 10,808,454.14
  5. Step 5: Solve for x
    x = 10,808,454.14/3,918.95
  6. Step 6: Final answer
    x = 2,758.00

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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.