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Finding the Fourth Proportional to 3,071.66, 4,237.27 and 2,077.27

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Solution

The fourth proportional to 3,071.66, 4,237.27 and 2,077.27 is: 2,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.66 : 4,237.27 = 2,077.27 : x
  2. Step 2: Convert to fraction form
    3,071.66/4,237.27 = 2,077.27/x
  3. Step 3: Cross multiply
    3,071.66x = 4,237.27 × 2,077.27
  4. Step 4: Simplify right side
    3,071.66x = 8,801,938.07
  5. Step 5: Solve for x
    x = 8,801,938.07/3,071.66
  6. Step 6: Final answer
    x = 2,865.54

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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.