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Finding the Fourth Proportional to 3,667.13, 5,501.81 and 1,328.24

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Solution

The fourth proportional to 3,667.13, 5,501.81 and 1,328.24 is: 1,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.13 : 5,501.81 = 1,328.24 : x
  2. Step 2: Convert to fraction form
    3,667.13/5,501.81 = 1,328.24/x
  3. Step 3: Cross multiply
    3,667.13x = 5,501.81 × 1,328.24
  4. Step 4: Simplify right side
    3,667.13x = 7,307,724.11
  5. Step 5: Solve for x
    x = 7,307,724.11/3,667.13
  6. Step 6: Final answer
    x = 1,992.76

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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.