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Finding the Fourth Proportional to 3,871.10, 5,342 and 2,192.42

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Solution

The fourth proportional to 3,871.10, 5,342 and 2,192.42 is: 3,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.10 : 5,342 = 2,192.42 : x
  2. Step 2: Convert to fraction form
    3,871.10/5,342 = 2,192.42/x
  3. Step 3: Cross multiply
    3,871.10x = 5,342 × 2,192.42
  4. Step 4: Simplify right side
    3,871.10x = 11,711,907.64
  5. Step 5: Solve for x
    x = 11,711,907.64/3,871.10
  6. Step 6: Final answer
    x = 3,025.47

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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.