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Finding the Fourth Proportional to 5,470.74, 8,208.54 and 2,548.80

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Solution

The fourth proportional to 5,470.74, 8,208.54 and 2,548.80 is: 3,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.74 : 8,208.54 = 2,548.80 : x
  2. Step 2: Convert to fraction form
    5,470.74/8,208.54 = 2,548.80/x
  3. Step 3: Cross multiply
    5,470.74x = 8,208.54 × 2,548.80
  4. Step 4: Simplify right side
    5,470.74x = 20,921,926.75
  5. Step 5: Solve for x
    x = 20,921,926.75/5,470.74
  6. Step 6: Final answer
    x = 3,824.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.