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Finding the Fourth Proportional to 3,809.65, 5,713.92 and 1,212.25

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Solution

The fourth proportional to 3,809.65, 5,713.92 and 1,212.25 is: 1,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.65 : 5,713.92 = 1,212.25 : x
  2. Step 2: Convert to fraction form
    3,809.65/5,713.92 = 1,212.25/x
  3. Step 3: Cross multiply
    3,809.65x = 5,713.92 × 1,212.25
  4. Step 4: Simplify right side
    3,809.65x = 6,926,699.52
  5. Step 5: Solve for x
    x = 6,926,699.52/3,809.65
  6. Step 6: Final answer
    x = 1,818.20

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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.