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Finding the Fourth Proportional to 5,891.96, 8,838.06 and 4,716.51

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Solution

The fourth proportional to 5,891.96, 8,838.06 and 4,716.51 is: 7,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.96 : 8,838.06 = 4,716.51 : x
  2. Step 2: Convert to fraction form
    5,891.96/8,838.06 = 4,716.51/x
  3. Step 3: Cross multiply
    5,891.96x = 8,838.06 × 4,716.51
  4. Step 4: Simplify right side
    5,891.96x = 41,684,747.54
  5. Step 5: Solve for x
    x = 41,684,747.54/5,891.96
  6. Step 6: Final answer
    x = 7,074.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.