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Finding the Fourth Proportional to 3,468.49, 5,193.60 and 2,078.53

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Solution

The fourth proportional to 3,468.49, 5,193.60 and 2,078.53 is: 3,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.49 : 5,193.60 = 2,078.53 : x
  2. Step 2: Convert to fraction form
    3,468.49/5,193.60 = 2,078.53/x
  3. Step 3: Cross multiply
    3,468.49x = 5,193.60 × 2,078.53
  4. Step 4: Simplify right side
    3,468.49x = 10,795,053.41
  5. Step 5: Solve for x
    x = 10,795,053.41/3,468.49
  6. Step 6: Final answer
    x = 3,112.32

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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.