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Finding the Fourth Proportional to 5,934.40, 8,189.42 and 3,281.78

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Solution

The fourth proportional to 5,934.40, 8,189.42 and 3,281.78 is: 4,528.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.40 : 8,189.42 = 3,281.78 : x
  2. Step 2: Convert to fraction form
    5,934.40/8,189.42 = 3,281.78/x
  3. Step 3: Cross multiply
    5,934.40x = 8,189.42 × 3,281.78
  4. Step 4: Simplify right side
    5,934.40x = 26,875,874.77
  5. Step 5: Solve for x
    x = 26,875,874.77/5,934.40
  6. Step 6: Final answer
    x = 4,528.83

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1.5x scale

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.