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Finding the Fourth Proportional to 3,386.75, 5,071.85 and 2,071.07

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Solution

The fourth proportional to 3,386.75, 5,071.85 and 2,071.07 is: 3,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.75 : 5,071.85 = 2,071.07 : x
  2. Step 2: Convert to fraction form
    3,386.75/5,071.85 = 2,071.07/x
  3. Step 3: Cross multiply
    3,386.75x = 5,071.85 × 2,071.07
  4. Step 4: Simplify right side
    3,386.75x = 10,504,147.45
  5. Step 5: Solve for x
    x = 10,504,147.45/3,386.75
  6. Step 6: Final answer
    x = 3,101.55

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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.