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Finding the Fourth Proportional to 4,727.75, 7,092.65 and 1,440.75

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Solution

The fourth proportional to 4,727.75, 7,092.65 and 1,440.75 is: 2,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.75 : 7,092.65 = 1,440.75 : x
  2. Step 2: Convert to fraction form
    4,727.75/7,092.65 = 1,440.75/x
  3. Step 3: Cross multiply
    4,727.75x = 7,092.65 × 1,440.75
  4. Step 4: Simplify right side
    4,727.75x = 10,218,765.69
  5. Step 5: Solve for x
    x = 10,218,765.69/4,727.75
  6. Step 6: Final answer
    x = 2,161.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.