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Finding the Fourth Proportional to 5,878.92, 8,112.78 and 3,783.04

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Solution

The fourth proportional to 5,878.92, 8,112.78 and 3,783.04 is: 5,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.92 : 8,112.78 = 3,783.04 : x
  2. Step 2: Convert to fraction form
    5,878.92/8,112.78 = 3,783.04/x
  3. Step 3: Cross multiply
    5,878.92x = 8,112.78 × 3,783.04
  4. Step 4: Simplify right side
    5,878.92x = 30,690,971.25
  5. Step 5: Solve for x
    x = 30,690,971.25/5,878.92
  6. Step 6: Final answer
    x = 5,220.51

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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.