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Finding the Fourth Proportional to 4,694.78, 7,042.39 and 3,871.55

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Solution

The fourth proportional to 4,694.78, 7,042.39 and 3,871.55 is: 5,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.78 : 7,042.39 = 3,871.55 : x
  2. Step 2: Convert to fraction form
    4,694.78/7,042.39 = 3,871.55/x
  3. Step 3: Cross multiply
    4,694.78x = 7,042.39 × 3,871.55
  4. Step 4: Simplify right side
    4,694.78x = 27,264,955.10
  5. Step 5: Solve for x
    x = 27,264,955.10/4,694.78
  6. Step 6: Final answer
    x = 5,807.51

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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.