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Finding the Fourth Proportional to 3,474.33, 5,210.96 and 1,008.64

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Solution

The fourth proportional to 3,474.33, 5,210.96 and 1,008.64 is: 1,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.33 : 5,210.96 = 1,008.64 : x
  2. Step 2: Convert to fraction form
    3,474.33/5,210.96 = 1,008.64/x
  3. Step 3: Cross multiply
    3,474.33x = 5,210.96 × 1,008.64
  4. Step 4: Simplify right side
    3,474.33x = 5,255,982.69
  5. Step 5: Solve for x
    x = 5,255,982.69/3,474.33
  6. Step 6: Final answer
    x = 1,512.80

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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.