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Finding the Fourth Proportional to 3,264.63, 4,497.71 and 2,679

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Solution

The fourth proportional to 3,264.63, 4,497.71 and 2,679 is: 3,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.63 : 4,497.71 = 2,679 : x
  2. Step 2: Convert to fraction form
    3,264.63/4,497.71 = 2,679/x
  3. Step 3: Cross multiply
    3,264.63x = 4,497.71 × 2,679
  4. Step 4: Simplify right side
    3,264.63x = 12,049,351.70
  5. Step 5: Solve for x
    x = 12,049,351.70/3,264.63
  6. Step 6: Final answer
    x = 3,690.88

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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.