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Finding the Fourth Proportional to 3,679.84, 5,517.68 and 3,366

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Solution

The fourth proportional to 3,679.84, 5,517.68 and 3,366 is: 5,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.84 : 5,517.68 = 3,366 : x
  2. Step 2: Convert to fraction form
    3,679.84/5,517.68 = 3,366/x
  3. Step 3: Cross multiply
    3,679.84x = 5,517.68 × 3,366
  4. Step 4: Simplify right side
    3,679.84x = 18,572,510.88
  5. Step 5: Solve for x
    x = 18,572,510.88/3,679.84
  6. Step 6: Final answer
    x = 5,047.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.