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Finding the Fourth Proportional to 3,476.16, 5,216.64 and 3,169.92

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Solution

The fourth proportional to 3,476.16, 5,216.64 and 3,169.92 is: 4,757.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.16 : 5,216.64 = 3,169.92 : x
  2. Step 2: Convert to fraction form
    3,476.16/5,216.64 = 3,169.92/x
  3. Step 3: Cross multiply
    3,476.16x = 5,216.64 × 3,169.92
  4. Step 4: Simplify right side
    3,476.16x = 16,536,331.47
  5. Step 5: Solve for x
    x = 16,536,331.47/3,476.16
  6. Step 6: Final answer
    x = 4,757.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.