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Finding the Fourth Proportional to 5,871.66, 8,102.61 and 3,219.18

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Solution

The fourth proportional to 5,871.66, 8,102.61 and 3,219.18 is: 4,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.66 : 8,102.61 = 3,219.18 : x
  2. Step 2: Convert to fraction form
    5,871.66/8,102.61 = 3,219.18/x
  3. Step 3: Cross multiply
    5,871.66x = 8,102.61 × 3,219.18
  4. Step 4: Simplify right side
    5,871.66x = 26,083,760.06
  5. Step 5: Solve for x
    x = 26,083,760.06/5,871.66
  6. Step 6: Final answer
    x = 4,442.31

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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.