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Finding the Fourth Proportional to 5,876.76, 8,110.23 and 3,639.84

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Solution

The fourth proportional to 5,876.76, 8,110.23 and 3,639.84 is: 5,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.76 : 8,110.23 = 3,639.84 : x
  2. Step 2: Convert to fraction form
    5,876.76/8,110.23 = 3,639.84/x
  3. Step 3: Cross multiply
    5,876.76x = 8,110.23 × 3,639.84
  4. Step 4: Simplify right side
    5,876.76x = 29,519,939.56
  5. Step 5: Solve for x
    x = 29,519,939.56/5,876.76
  6. Step 6: Final answer
    x = 5,023.17

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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.