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Finding the Fourth Proportional to 5,470.54, 8,208.54 and 2,549.07

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Solution

The fourth proportional to 5,470.54, 8,208.54 and 2,549.07 is: 3,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.54 : 8,208.54 = 2,549.07 : x
  2. Step 2: Convert to fraction form
    5,470.54/8,208.54 = 2,549.07/x
  3. Step 3: Cross multiply
    5,470.54x = 8,208.54 × 2,549.07
  4. Step 4: Simplify right side
    5,470.54x = 20,924,143.06
  5. Step 5: Solve for x
    x = 20,924,143.06/5,470.54
  6. Step 6: Final answer
    x = 3,824.88

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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.