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Finding the Fourth Proportional to 4,152.92, 5,727.04 and 3,207.20

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Solution

The fourth proportional to 4,152.92, 5,727.04 and 3,207.20 is: 4,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.92 : 5,727.04 = 3,207.20 : x
  2. Step 2: Convert to fraction form
    4,152.92/5,727.04 = 3,207.20/x
  3. Step 3: Cross multiply
    4,152.92x = 5,727.04 × 3,207.20
  4. Step 4: Simplify right side
    4,152.92x = 18,367,762.69
  5. Step 5: Solve for x
    x = 18,367,762.69/4,152.92
  6. Step 6: Final answer
    x = 4,422.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.