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Finding the Fourth Proportional to 5,876.72, 8,107.80 and 3,607.28

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Solution

The fourth proportional to 5,876.72, 8,107.80 and 3,607.28 is: 4,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.72 : 8,107.80 = 3,607.28 : x
  2. Step 2: Convert to fraction form
    5,876.72/8,107.80 = 3,607.28/x
  3. Step 3: Cross multiply
    5,876.72x = 8,107.80 × 3,607.28
  4. Step 4: Simplify right side
    5,876.72x = 29,247,104.78
  5. Step 5: Solve for x
    x = 29,247,104.78/5,876.72
  6. Step 6: Final answer
    x = 4,976.77

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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.