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Finding the Fourth Proportional to 3,667.86, 5,501.82 and 1,035.38

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Solution

The fourth proportional to 3,667.86, 5,501.82 and 1,035.38 is: 1,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.86 : 5,501.82 = 1,035.38 : x
  2. Step 2: Convert to fraction form
    3,667.86/5,501.82 = 1,035.38/x
  3. Step 3: Cross multiply
    3,667.86x = 5,501.82 × 1,035.38
  4. Step 4: Simplify right side
    3,667.86x = 5,696,474.39
  5. Step 5: Solve for x
    x = 5,696,474.39/3,667.86
  6. Step 6: Final answer
    x = 1,553.08

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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.