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Finding the Fourth Proportional to 5,074.68, 7,002.82 and 2,836.84

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Solution

The fourth proportional to 5,074.68, 7,002.82 and 2,836.84 is: 3,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.68 : 7,002.82 = 2,836.84 : x
  2. Step 2: Convert to fraction form
    5,074.68/7,002.82 = 2,836.84/x
  3. Step 3: Cross multiply
    5,074.68x = 7,002.82 × 2,836.84
  4. Step 4: Simplify right side
    5,074.68x = 19,865,879.89
  5. Step 5: Solve for x
    x = 19,865,879.89/5,074.68
  6. Step 6: Final answer
    x = 3,914.71

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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.