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Finding the Fourth Proportional to 4,064.65, 5,613.20 and 3,471.73

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Solution

The fourth proportional to 4,064.65, 5,613.20 and 3,471.73 is: 4,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.65 : 5,613.20 = 3,471.73 : x
  2. Step 2: Convert to fraction form
    4,064.65/5,613.20 = 3,471.73/x
  3. Step 3: Cross multiply
    4,064.65x = 5,613.20 × 3,471.73
  4. Step 4: Simplify right side
    4,064.65x = 19,487,496.46
  5. Step 5: Solve for x
    x = 19,487,496.46/4,064.65
  6. Step 6: Final answer
    x = 4,794.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.