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Finding the Fourth Proportional to 5,704.81, 7,872.65 and 3,220.81

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Solution

The fourth proportional to 5,704.81, 7,872.65 and 3,220.81 is: 4,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.81 : 7,872.65 = 3,220.81 : x
  2. Step 2: Convert to fraction form
    5,704.81/7,872.65 = 3,220.81/x
  3. Step 3: Cross multiply
    5,704.81x = 7,872.65 × 3,220.81
  4. Step 4: Simplify right side
    5,704.81x = 25,356,309.85
  5. Step 5: Solve for x
    x = 25,356,309.85/5,704.81
  6. Step 6: Final answer
    x = 4,444.72

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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.