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Finding the Fourth Proportional to 3,667.39, 5,502.70 and 1,480.39

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Solution

The fourth proportional to 3,667.39, 5,502.70 and 1,480.39 is: 2,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.39 : 5,502.70 = 1,480.39 : x
  2. Step 2: Convert to fraction form
    3,667.39/5,502.70 = 1,480.39/x
  3. Step 3: Cross multiply
    3,667.39x = 5,502.70 × 1,480.39
  4. Step 4: Simplify right side
    3,667.39x = 8,146,130.15
  5. Step 5: Solve for x
    x = 8,146,130.15/3,667.39
  6. Step 6: Final answer
    x = 2,221.24

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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.