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Finding the Fourth Proportional to 5,471.16, 8,209.16 and 3,392.68

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Solution

The fourth proportional to 5,471.16, 8,209.16 and 3,392.68 is: 5,090.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.16 : 8,209.16 = 3,392.68 : x
  2. Step 2: Convert to fraction form
    5,471.16/8,209.16 = 3,392.68/x
  3. Step 3: Cross multiply
    5,471.16x = 8,209.16 × 3,392.68
  4. Step 4: Simplify right side
    5,471.16x = 27,851,052.95
  5. Step 5: Solve for x
    x = 27,851,052.95/5,471.16
  6. Step 6: Final answer
    x = 5,090.52

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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.