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Finding the Fourth Proportional to 3,708.75, 5,564.42 and 1,859.45

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Solution

The fourth proportional to 3,708.75, 5,564.42 and 1,859.45 is: 2,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.75 : 5,564.42 = 1,859.45 : x
  2. Step 2: Convert to fraction form
    3,708.75/5,564.42 = 1,859.45/x
  3. Step 3: Cross multiply
    3,708.75x = 5,564.42 × 1,859.45
  4. Step 4: Simplify right side
    3,708.75x = 10,346,723.65
  5. Step 5: Solve for x
    x = 10,346,723.65/3,708.75
  6. Step 6: Final answer
    x = 2,789.81

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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.