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Finding the Fourth Proportional to 4,667.70, 6,997.55 and 2,033.20

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Solution

The fourth proportional to 4,667.70, 6,997.55 and 2,033.20 is: 3,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.70 : 6,997.55 = 2,033.20 : x
  2. Step 2: Convert to fraction form
    4,667.70/6,997.55 = 2,033.20/x
  3. Step 3: Cross multiply
    4,667.70x = 6,997.55 × 2,033.20
  4. Step 4: Simplify right side
    4,667.70x = 14,227,383.67
  5. Step 5: Solve for x
    x = 14,227,383.67/4,667.70
  6. Step 6: Final answer
    x = 3,048.05

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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.