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Finding the Fourth Proportional to 3,675.33, 5,071.88 and 2,081.95

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Solution

The fourth proportional to 3,675.33, 5,071.88 and 2,081.95 is: 2,873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.33 : 5,071.88 = 2,081.95 : x
  2. Step 2: Convert to fraction form
    3,675.33/5,071.88 = 2,081.95/x
  3. Step 3: Cross multiply
    3,675.33x = 5,071.88 × 2,081.95
  4. Step 4: Simplify right side
    3,675.33x = 10,559,400.57
  5. Step 5: Solve for x
    x = 10,559,400.57/3,675.33
  6. Step 6: Final answer
    x = 2,873.05

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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.