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Finding the Fourth Proportional to 4,667.84, 7,000.78 and 2,069.12

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Solution

The fourth proportional to 4,667.84, 7,000.78 and 2,069.12 is: 3,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.84 : 7,000.78 = 2,069.12 : x
  2. Step 2: Convert to fraction form
    4,667.84/7,000.78 = 2,069.12/x
  3. Step 3: Cross multiply
    4,667.84x = 7,000.78 × 2,069.12
  4. Step 4: Simplify right side
    4,667.84x = 14,485,453.91
  5. Step 5: Solve for x
    x = 14,485,453.91/4,667.84
  6. Step 6: Final answer
    x = 3,103.25

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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.