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Finding the Fourth Proportional to 5,684.39, 7,844.34 and 3,166.49

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Solution

The fourth proportional to 5,684.39, 7,844.34 and 3,166.49 is: 4,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.39 : 7,844.34 = 3,166.49 : x
  2. Step 2: Convert to fraction form
    5,684.39/7,844.34 = 3,166.49/x
  3. Step 3: Cross multiply
    5,684.39x = 7,844.34 × 3,166.49
  4. Step 4: Simplify right side
    5,684.39x = 24,839,024.17
  5. Step 5: Solve for x
    x = 24,839,024.17/5,684.39
  6. Step 6: Final answer
    x = 4,369.69

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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.