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Finding the Fourth Proportional to 3,667.47, 5,501.76 and 1,201.71

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Solution

The fourth proportional to 3,667.47, 5,501.76 and 1,201.71 is: 1,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.47 : 5,501.76 = 1,201.71 : x
  2. Step 2: Convert to fraction form
    3,667.47/5,501.76 = 1,201.71/x
  3. Step 3: Cross multiply
    3,667.47x = 5,501.76 × 1,201.71
  4. Step 4: Simplify right side
    3,667.47x = 6,611,520.01
  5. Step 5: Solve for x
    x = 6,611,520.01/3,667.47
  6. Step 6: Final answer
    x = 1,802.75

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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.