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Finding the Fourth Proportional to 3,871.03, 5,342.28 and 2,192.43

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Solution

The fourth proportional to 3,871.03, 5,342.28 and 2,192.43 is: 3,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.03 : 5,342.28 = 2,192.43 : x
  2. Step 2: Convert to fraction form
    3,871.03/5,342.28 = 2,192.43/x
  3. Step 3: Cross multiply
    3,871.03x = 5,342.28 × 2,192.43
  4. Step 4: Simplify right side
    3,871.03x = 11,712,574.94
  5. Step 5: Solve for x
    x = 11,712,574.94/3,871.03
  6. Step 6: Final answer
    x = 3,025.70

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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.