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Finding the Fourth Proportional to 5,876.78, 8,109.91 and 3,188.00

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Solution

The fourth proportional to 5,876.78, 8,109.91 and 3,188.00 is: 4,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.78 : 8,109.91 = 3,188.00 : x
  2. Step 2: Convert to fraction form
    5,876.78/8,109.91 = 3,188.00/x
  3. Step 3: Cross multiply
    5,876.78x = 8,109.91 × 3,188.00
  4. Step 4: Simplify right side
    5,876.78x = 25,854,355.83
  5. Step 5: Solve for x
    x = 25,854,355.83/5,876.78
  6. Step 6: Final answer
    x = 4,399.41

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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.