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Finding the Fourth Proportional to 3,468.16, 5,202.96 and 2,008.72

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Solution

The fourth proportional to 3,468.16, 5,202.96 and 2,008.72 is: 3,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.16 : 5,202.96 = 2,008.72 : x
  2. Step 2: Convert to fraction form
    3,468.16/5,202.96 = 2,008.72/x
  3. Step 3: Cross multiply
    3,468.16x = 5,202.96 × 2,008.72
  4. Step 4: Simplify right side
    3,468.16x = 10,451,289.81
  5. Step 5: Solve for x
    x = 10,451,289.81/3,468.16
  6. Step 6: Final answer
    x = 3,013.50

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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.