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Finding the Fourth Proportional to 3,383.87, 4,667.42 and 2,206.53

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Solution

The fourth proportional to 3,383.87, 4,667.42 and 2,206.53 is: 3,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.87 : 4,667.42 = 2,206.53 : x
  2. Step 2: Convert to fraction form
    3,383.87/4,667.42 = 2,206.53/x
  3. Step 3: Cross multiply
    3,383.87x = 4,667.42 × 2,206.53
  4. Step 4: Simplify right side
    3,383.87x = 10,298,807.77
  5. Step 5: Solve for x
    x = 10,298,807.77/3,383.87
  6. Step 6: Final answer
    x = 3,043.50

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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.