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Finding the Fourth Proportional to 4,667.14, 6,998.88 and 2,068.25

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Solution

The fourth proportional to 4,667.14, 6,998.88 and 2,068.25 is: 3,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.14 : 6,998.88 = 2,068.25 : x
  2. Step 2: Convert to fraction form
    4,667.14/6,998.88 = 2,068.25/x
  3. Step 3: Cross multiply
    4,667.14x = 6,998.88 × 2,068.25
  4. Step 4: Simplify right side
    4,667.14x = 14,475,433.56
  5. Step 5: Solve for x
    x = 14,475,433.56/4,667.14
  6. Step 6: Final answer
    x = 3,101.57

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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.