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Finding the Fourth Proportional to 4,727.65, 7,092.51 and 1,441

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Solution

The fourth proportional to 4,727.65, 7,092.51 and 1,441 is: 2,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.65 : 7,092.51 = 1,441 : x
  2. Step 2: Convert to fraction form
    4,727.65/7,092.51 = 1,441/x
  3. Step 3: Cross multiply
    4,727.65x = 7,092.51 × 1,441
  4. Step 4: Simplify right side
    4,727.65x = 10,220,306.91
  5. Step 5: Solve for x
    x = 10,220,306.91/4,727.65
  6. Step 6: Final answer
    x = 2,161.82

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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.