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Finding the Fourth Proportional to 3,385.47, 5,078.36 and 1,194.22

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Solution

The fourth proportional to 3,385.47, 5,078.36 and 1,194.22 is: 1,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.47 : 5,078.36 = 1,194.22 : x
  2. Step 2: Convert to fraction form
    3,385.47/5,078.36 = 1,194.22/x
  3. Step 3: Cross multiply
    3,385.47x = 5,078.36 × 1,194.22
  4. Step 4: Simplify right side
    3,385.47x = 6,064,679.08
  5. Step 5: Solve for x
    x = 6,064,679.08/3,385.47
  6. Step 6: Final answer
    x = 1,791.38

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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.