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Finding the Fourth Proportional to 3,696.30, 5,536.35 and 3,285.90

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Solution

The fourth proportional to 3,696.30, 5,536.35 and 3,285.90 is: 4,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.30 : 5,536.35 = 3,285.90 : x
  2. Step 2: Convert to fraction form
    3,696.30/5,536.35 = 3,285.90/x
  3. Step 3: Cross multiply
    3,696.30x = 5,536.35 × 3,285.90
  4. Step 4: Simplify right side
    3,696.30x = 18,191,892.47
  5. Step 5: Solve for x
    x = 18,191,892.47/3,696.30
  6. Step 6: Final answer
    x = 4,921.65

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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.