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Finding the Fourth Proportional to 4,323.20, 6,475.20 and 3,747.20

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Solution

The fourth proportional to 4,323.20, 6,475.20 and 3,747.20 is: 5,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.20 : 6,475.20 = 3,747.20 : x
  2. Step 2: Convert to fraction form
    4,323.20/6,475.20 = 3,747.20/x
  3. Step 3: Cross multiply
    4,323.20x = 6,475.20 × 3,747.20
  4. Step 4: Simplify right side
    4,323.20x = 24,263,869.44
  5. Step 5: Solve for x
    x = 24,263,869.44/4,323.20
  6. Step 6: Final answer
    x = 5,612.48

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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.