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Finding the Fourth Proportional to 3,064.74, 4,231.64 and 2,711.04

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Solution

The fourth proportional to 3,064.74, 4,231.64 and 2,711.04 is: 3,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.74 : 4,231.64 = 2,711.04 : x
  2. Step 2: Convert to fraction form
    3,064.74/4,231.64 = 2,711.04/x
  3. Step 3: Cross multiply
    3,064.74x = 4,231.64 × 2,711.04
  4. Step 4: Simplify right side
    3,064.74x = 11,472,145.31
  5. Step 5: Solve for x
    x = 11,472,145.31/3,064.74
  6. Step 6: Final answer
    x = 3,743.27

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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.