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Finding the Fourth Proportional to 3,652.04, 5,023.87 and 3,201.88

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Solution

The fourth proportional to 3,652.04, 5,023.87 and 3,201.88 is: 4,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.04 : 5,023.87 = 3,201.88 : x
  2. Step 2: Convert to fraction form
    3,652.04/5,023.87 = 3,201.88/x
  3. Step 3: Cross multiply
    3,652.04x = 5,023.87 × 3,201.88
  4. Step 4: Simplify right side
    3,652.04x = 16,085,828.88
  5. Step 5: Solve for x
    x = 16,085,828.88/3,652.04
  6. Step 6: Final answer
    x = 4,404.61

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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.