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Finding the Fourth Proportional to 3,880.80, 5,791.17 and 3,465.47

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Solution

The fourth proportional to 3,880.80, 5,791.17 and 3,465.47 is: 5,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.80 : 5,791.17 = 3,465.47 : x
  2. Step 2: Convert to fraction form
    3,880.80/5,791.17 = 3,465.47/x
  3. Step 3: Cross multiply
    3,880.80x = 5,791.17 × 3,465.47
  4. Step 4: Simplify right side
    3,880.80x = 20,069,125.90
  5. Step 5: Solve for x
    x = 20,069,125.90/3,880.80
  6. Step 6: Final answer
    x = 5,171.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.