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Finding the Fourth Proportional to 3,759.78, 5,188.03 and 2,081.06

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Solution

The fourth proportional to 3,759.78, 5,188.03 and 2,081.06 is: 2,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.78 : 5,188.03 = 2,081.06 : x
  2. Step 2: Convert to fraction form
    3,759.78/5,188.03 = 2,081.06/x
  3. Step 3: Cross multiply
    3,759.78x = 5,188.03 × 2,081.06
  4. Step 4: Simplify right side
    3,759.78x = 10,796,601.71
  5. Step 5: Solve for x
    x = 10,796,601.71/3,759.78
  6. Step 6: Final answer
    x = 2,871.60

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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.