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Finding the Fourth Proportional to 3,289.56, 4,934.06 and 1,209.48

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Solution

The fourth proportional to 3,289.56, 4,934.06 and 1,209.48 is: 1,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.56 : 4,934.06 = 1,209.48 : x
  2. Step 2: Convert to fraction form
    3,289.56/4,934.06 = 1,209.48/x
  3. Step 3: Cross multiply
    3,289.56x = 4,934.06 × 1,209.48
  4. Step 4: Simplify right side
    3,289.56x = 5,967,646.89
  5. Step 5: Solve for x
    x = 5,967,646.89/3,289.56
  6. Step 6: Final answer
    x = 1,814.12

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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.