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Finding the Fourth Proportional to 3,467.67, 4,787.67 and 2,143.32

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Solution

The fourth proportional to 3,467.67, 4,787.67 and 2,143.32 is: 2,959.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.67 : 4,787.67 = 2,143.32 : x
  2. Step 2: Convert to fraction form
    3,467.67/4,787.67 = 2,143.32/x
  3. Step 3: Cross multiply
    3,467.67x = 4,787.67 × 2,143.32
  4. Step 4: Simplify right side
    3,467.67x = 10,261,508.86
  5. Step 5: Solve for x
    x = 10,261,508.86/3,467.67
  6. Step 6: Final answer
    x = 2,959.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.