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Finding the Fourth Proportional to 3,871.94, 5,342.10 and 2,193.08

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Solution

The fourth proportional to 3,871.94, 5,342.10 and 2,193.08 is: 3,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.94 : 5,342.10 = 2,193.08 : x
  2. Step 2: Convert to fraction form
    3,871.94/5,342.10 = 2,193.08/x
  3. Step 3: Cross multiply
    3,871.94x = 5,342.10 × 2,193.08
  4. Step 4: Simplify right side
    3,871.94x = 11,715,652.67
  5. Step 5: Solve for x
    x = 11,715,652.67/3,871.94
  6. Step 6: Final answer
    x = 3,025.78

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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.