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Finding the Fourth Proportional to 3,111.72, 4,653.76 and 2,767.44

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Solution

The fourth proportional to 3,111.72, 4,653.76 and 2,767.44 is: 4,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.72 : 4,653.76 = 2,767.44 : x
  2. Step 2: Convert to fraction form
    3,111.72/4,653.76 = 2,767.44/x
  3. Step 3: Cross multiply
    3,111.72x = 4,653.76 × 2,767.44
  4. Step 4: Simplify right side
    3,111.72x = 12,879,001.57
  5. Step 5: Solve for x
    x = 12,879,001.57/3,111.72
  6. Step 6: Final answer
    x = 4,138.87

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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.