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Finding the Fourth Proportional to 4,951.81, 6,833.70 and 2,827.69

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Solution

The fourth proportional to 4,951.81, 6,833.70 and 2,827.69 is: 3,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.81 : 6,833.70 = 2,827.69 : x
  2. Step 2: Convert to fraction form
    4,951.81/6,833.70 = 2,827.69/x
  3. Step 3: Cross multiply
    4,951.81x = 6,833.70 × 2,827.69
  4. Step 4: Simplify right side
    4,951.81x = 19,323,568.07
  5. Step 5: Solve for x
    x = 19,323,568.07/4,951.81
  6. Step 6: Final answer
    x = 3,902.32

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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.