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Finding the Fourth Proportional to 2,976.53, 4,108.14 and 2,827.85

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Solution

The fourth proportional to 2,976.53, 4,108.14 and 2,827.85 is: 3,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.53 : 4,108.14 = 2,827.85 : x
  2. Step 2: Convert to fraction form
    2,976.53/4,108.14 = 2,827.85/x
  3. Step 3: Cross multiply
    2,976.53x = 4,108.14 × 2,827.85
  4. Step 4: Simplify right side
    2,976.53x = 11,617,183.16
  5. Step 5: Solve for x
    x = 11,617,183.16/2,976.53
  6. Step 6: Final answer
    x = 3,902.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.