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Finding the Fourth Proportional to 3,467.63, 4,787.84 and 2,143.15

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Solution

The fourth proportional to 3,467.63, 4,787.84 and 2,143.15 is: 2,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.63 : 4,787.84 = 2,143.15 : x
  2. Step 2: Convert to fraction form
    3,467.63/4,787.84 = 2,143.15/x
  3. Step 3: Cross multiply
    3,467.63x = 4,787.84 × 2,143.15
  4. Step 4: Simplify right side
    3,467.63x = 10,261,048.58
  5. Step 5: Solve for x
    x = 10,261,048.58/3,467.63
  6. Step 6: Final answer
    x = 2,959.10

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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.