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Finding the Fourth Proportional to 3,716.67, 5,574.96 and 905.52

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Solution

The fourth proportional to 3,716.67, 5,574.96 and 905.52 is: 1,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.67 : 5,574.96 = 905.52 : x
  2. Step 2: Convert to fraction form
    3,716.67/5,574.96 = 905.52/x
  3. Step 3: Cross multiply
    3,716.67x = 5,574.96 × 905.52
  4. Step 4: Simplify right side
    3,716.67x = 5,048,237.78
  5. Step 5: Solve for x
    x = 5,048,237.78/3,716.67
  6. Step 6: Final answer
    x = 1,358.27

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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.