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Finding the Fourth Proportional to 3,871.76, 5,336.15 and 3,159.02

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Solution

The fourth proportional to 3,871.76, 5,336.15 and 3,159.02 is: 4,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.76 : 5,336.15 = 3,159.02 : x
  2. Step 2: Convert to fraction form
    3,871.76/5,336.15 = 3,159.02/x
  3. Step 3: Cross multiply
    3,871.76x = 5,336.15 × 3,159.02
  4. Step 4: Simplify right side
    3,871.76x = 16,857,002.12
  5. Step 5: Solve for x
    x = 16,857,002.12/3,871.76
  6. Step 6: Final answer
    x = 4,353.84

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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.