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Finding the Fourth Proportional to 5,074.95, 6,998.90 and 3,186.71

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Solution

The fourth proportional to 5,074.95, 6,998.90 and 3,186.71 is: 4,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.95 : 6,998.90 = 3,186.71 : x
  2. Step 2: Convert to fraction form
    5,074.95/6,998.90 = 3,186.71/x
  3. Step 3: Cross multiply
    5,074.95x = 6,998.90 × 3,186.71
  4. Step 4: Simplify right side
    5,074.95x = 22,303,464.62
  5. Step 5: Solve for x
    x = 22,303,464.62/5,074.95
  6. Step 6: Final answer
    x = 4,394.81

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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.