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Finding the Fourth Proportional to 4,727.57, 7,092.38 and 1,440.57

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Solution

The fourth proportional to 4,727.57, 7,092.38 and 1,440.57 is: 2,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.57 : 7,092.38 = 1,440.57 : x
  2. Step 2: Convert to fraction form
    4,727.57/7,092.38 = 1,440.57/x
  3. Step 3: Cross multiply
    4,727.57x = 7,092.38 × 1,440.57
  4. Step 4: Simplify right side
    4,727.57x = 10,217,052.06
  5. Step 5: Solve for x
    x = 10,217,052.06/4,727.57
  6. Step 6: Final answer
    x = 2,161.17

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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.