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Finding the Fourth Proportional to 5,871.63, 8,102.85 and 3,219.15

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Solution

The fourth proportional to 5,871.63, 8,102.85 and 3,219.15 is: 4,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.63 : 8,102.85 = 3,219.15 : x
  2. Step 2: Convert to fraction form
    5,871.63/8,102.85 = 3,219.15/x
  3. Step 3: Cross multiply
    5,871.63x = 8,102.85 × 3,219.15
  4. Step 4: Simplify right side
    5,871.63x = 26,084,289.58
  5. Step 5: Solve for x
    x = 26,084,289.58/5,871.63
  6. Step 6: Final answer
    x = 4,442.43

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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.