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Finding the Fourth Proportional to 5,488.32, 8,231.22 and 1,789.50

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Solution

The fourth proportional to 5,488.32, 8,231.22 and 1,789.50 is: 2,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.32 : 8,231.22 = 1,789.50 : x
  2. Step 2: Convert to fraction form
    5,488.32/8,231.22 = 1,789.50/x
  3. Step 3: Cross multiply
    5,488.32x = 8,231.22 × 1,789.50
  4. Step 4: Simplify right side
    5,488.32x = 14,729,768.19
  5. Step 5: Solve for x
    x = 14,729,768.19/5,488.32
  6. Step 6: Final answer
    x = 2,683.84

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1.5x scale

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.