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Finding the Fourth Proportional to 3,470.38, 5,208.14 and 2,548.33

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Solution

The fourth proportional to 3,470.38, 5,208.14 and 2,548.33 is: 3,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.38 : 5,208.14 = 2,548.33 : x
  2. Step 2: Convert to fraction form
    3,470.38/5,208.14 = 2,548.33/x
  3. Step 3: Cross multiply
    3,470.38x = 5,208.14 × 2,548.33
  4. Step 4: Simplify right side
    3,470.38x = 13,272,059.41
  5. Step 5: Solve for x
    x = 13,272,059.41/3,470.38
  6. Step 6: Final answer
    x = 3,824.38

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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.