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Finding the Fourth Proportional to 5,871.10, 8,102.18 and 3,218.46

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Solution

The fourth proportional to 5,871.10, 8,102.18 and 3,218.46 is: 4,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.10 : 8,102.18 = 3,218.46 : x
  2. Step 2: Convert to fraction form
    5,871.10/8,102.18 = 3,218.46/x
  3. Step 3: Cross multiply
    5,871.10x = 8,102.18 × 3,218.46
  4. Step 4: Simplify right side
    5,871.10x = 26,076,542.24
  5. Step 5: Solve for x
    x = 26,076,542.24/5,871.10
  6. Step 6: Final answer
    x = 4,441.51

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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.