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Finding the Fourth Proportional to 3,574.65, 5,363.19 and 3,229.59

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Solution

The fourth proportional to 3,574.65, 5,363.19 and 3,229.59 is: 4,845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.65 : 5,363.19 = 3,229.59 : x
  2. Step 2: Convert to fraction form
    3,574.65/5,363.19 = 3,229.59/x
  3. Step 3: Cross multiply
    3,574.65x = 5,363.19 × 3,229.59
  4. Step 4: Simplify right side
    3,574.65x = 17,320,904.79
  5. Step 5: Solve for x
    x = 17,320,904.79/3,574.65
  6. Step 6: Final answer
    x = 4,845.48

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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.