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Finding the Fourth Proportional to 3,661.50, 5,488.18 and 1,808.70

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Solution

The fourth proportional to 3,661.50, 5,488.18 and 1,808.70 is: 2,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.50 : 5,488.18 = 1,808.70 : x
  2. Step 2: Convert to fraction form
    3,661.50/5,488.18 = 1,808.70/x
  3. Step 3: Cross multiply
    3,661.50x = 5,488.18 × 1,808.70
  4. Step 4: Simplify right side
    3,661.50x = 9,926,471.17
  5. Step 5: Solve for x
    x = 9,926,471.17/3,661.50
  6. Step 6: Final answer
    x = 2,711.04

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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.