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Finding the Fourth Proportional to 3,808.08, 5,694.84 and 3,403.08

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Solution

The fourth proportional to 3,808.08, 5,694.84 and 3,403.08 is: 5,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.08 : 5,694.84 = 3,403.08 : x
  2. Step 2: Convert to fraction form
    3,808.08/5,694.84 = 3,403.08/x
  3. Step 3: Cross multiply
    3,808.08x = 5,694.84 × 3,403.08
  4. Step 4: Simplify right side
    3,808.08x = 19,379,996.11
  5. Step 5: Solve for x
    x = 19,379,996.11/3,808.08
  6. Step 6: Final answer
    x = 5,089.18

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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.