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Finding the Fourth Proportional to 3,865.32, 5,797.98 and 943.62

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Solution

The fourth proportional to 3,865.32, 5,797.98 and 943.62 is: 1,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.32 : 5,797.98 = 943.62 : x
  2. Step 2: Convert to fraction form
    3,865.32/5,797.98 = 943.62/x
  3. Step 3: Cross multiply
    3,865.32x = 5,797.98 × 943.62
  4. Step 4: Simplify right side
    3,865.32x = 5,471,089.89
  5. Step 5: Solve for x
    x = 5,471,089.89/3,865.32
  6. Step 6: Final answer
    x = 1,415.43

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Similar ratio
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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.