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Finding the Fourth Proportional to 5,871.85, 8,103.14 and 3,219.25

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Solution

The fourth proportional to 5,871.85, 8,103.14 and 3,219.25 is: 4,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.85 : 8,103.14 = 3,219.25 : x
  2. Step 2: Convert to fraction form
    5,871.85/8,103.14 = 3,219.25/x
  3. Step 3: Cross multiply
    5,871.85x = 8,103.14 × 3,219.25
  4. Step 4: Simplify right side
    5,871.85x = 26,086,017.35
  5. Step 5: Solve for x
    x = 26,086,017.35/5,871.85
  6. Step 6: Final answer
    x = 4,442.56

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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.