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Finding the Fourth Proportional to 5,667.85, 7,821.62 and 3,150.19

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Solution

The fourth proportional to 5,667.85, 7,821.62 and 3,150.19 is: 4,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.85 : 7,821.62 = 3,150.19 : x
  2. Step 2: Convert to fraction form
    5,667.85/7,821.62 = 3,150.19/x
  3. Step 3: Cross multiply
    5,667.85x = 7,821.62 × 3,150.19
  4. Step 4: Simplify right side
    5,667.85x = 24,639,589.11
  5. Step 5: Solve for x
    x = 24,639,589.11/5,667.85
  6. Step 6: Final answer
    x = 4,347.25

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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.