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Finding the Fourth Proportional to 3,788.98, 5,225.56 and 3,194.39

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Solution

The fourth proportional to 3,788.98, 5,225.56 and 3,194.39 is: 4,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.98 : 5,225.56 = 3,194.39 : x
  2. Step 2: Convert to fraction form
    3,788.98/5,225.56 = 3,194.39/x
  3. Step 3: Cross multiply
    3,788.98x = 5,225.56 × 3,194.39
  4. Step 4: Simplify right side
    3,788.98x = 16,692,470.26
  5. Step 5: Solve for x
    x = 16,692,470.26/3,788.98
  6. Step 6: Final answer
    x = 4,405.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.