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Finding the Fourth Proportional to 4,654.37, 6,981.42 and 3,959.39

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Solution

The fourth proportional to 4,654.37, 6,981.42 and 3,959.39 is: 5,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.37 : 6,981.42 = 3,959.39 : x
  2. Step 2: Convert to fraction form
    4,654.37/6,981.42 = 3,959.39/x
  3. Step 3: Cross multiply
    4,654.37x = 6,981.42 × 3,959.39
  4. Step 4: Simplify right side
    4,654.37x = 27,642,164.53
  5. Step 5: Solve for x
    x = 27,642,164.53/4,654.37
  6. Step 6: Final answer
    x = 5,938.97

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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.