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Finding the Fourth Proportional to 3,809.84, 5,711.12 and 1,468.16

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Solution

The fourth proportional to 3,809.84, 5,711.12 and 1,468.16 is: 2,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.84 : 5,711.12 = 1,468.16 : x
  2. Step 2: Convert to fraction form
    3,809.84/5,711.12 = 1,468.16/x
  3. Step 3: Cross multiply
    3,809.84x = 5,711.12 × 1,468.16
  4. Step 4: Simplify right side
    3,809.84x = 8,384,837.94
  5. Step 5: Solve for x
    x = 8,384,837.94/3,809.84
  6. Step 6: Final answer
    x = 2,200.84

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Why These Related Problems?

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