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Finding the Fourth Proportional to 5,878.65, 8,110.92 and 3,783.99

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Solution

The fourth proportional to 5,878.65, 8,110.92 and 3,783.99 is: 5,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.65 : 8,110.92 = 3,783.99 : x
  2. Step 2: Convert to fraction form
    5,878.65/8,110.92 = 3,783.99/x
  3. Step 3: Cross multiply
    5,878.65x = 8,110.92 × 3,783.99
  4. Step 4: Simplify right side
    5,878.65x = 30,691,640.17
  5. Step 5: Solve for x
    x = 30,691,640.17/5,878.65
  6. Step 6: Final answer
    x = 5,220.87

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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.