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Finding the Fourth Proportional to 3,871.42, 5,342.31 and 2,193.18

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Solution

The fourth proportional to 3,871.42, 5,342.31 and 2,193.18 is: 3,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.42 : 5,342.31 = 2,193.18 : x
  2. Step 2: Convert to fraction form
    3,871.42/5,342.31 = 2,193.18/x
  3. Step 3: Cross multiply
    3,871.42x = 5,342.31 × 2,193.18
  4. Step 4: Simplify right side
    3,871.42x = 11,716,647.45
  5. Step 5: Solve for x
    x = 11,716,647.45/3,871.42
  6. Step 6: Final answer
    x = 3,026.45

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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.