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Finding the Fourth Proportional to 3,969.84, 5,942.42 and 2,931

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Solution

The fourth proportional to 3,969.84, 5,942.42 and 2,931 is: 4,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.84 : 5,942.42 = 2,931 : x
  2. Step 2: Convert to fraction form
    3,969.84/5,942.42 = 2,931/x
  3. Step 3: Cross multiply
    3,969.84x = 5,942.42 × 2,931
  4. Step 4: Simplify right side
    3,969.84x = 17,417,233.02
  5. Step 5: Solve for x
    x = 17,417,233.02/3,969.84
  6. Step 6: Final answer
    x = 4,387.39

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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.