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Finding the Fourth Proportional to 3,279.27, 4,919.40 and 1,087.50

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Solution

The fourth proportional to 3,279.27, 4,919.40 and 1,087.50 is: 1,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.27 : 4,919.40 = 1,087.50 : x
  2. Step 2: Convert to fraction form
    3,279.27/4,919.40 = 1,087.50/x
  3. Step 3: Cross multiply
    3,279.27x = 4,919.40 × 1,087.50
  4. Step 4: Simplify right side
    3,279.27x = 5,349,847.50
  5. Step 5: Solve for x
    x = 5,349,847.50/3,279.27
  6. Step 6: Final answer
    x = 1,631.41

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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.