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Finding the Fourth Proportional to 3,585.77, 5,385.18 and 2,201.58

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Solution

The fourth proportional to 3,585.77, 5,385.18 and 2,201.58 is: 3,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.77 : 5,385.18 = 2,201.58 : x
  2. Step 2: Convert to fraction form
    3,585.77/5,385.18 = 2,201.58/x
  3. Step 3: Cross multiply
    3,585.77x = 5,385.18 × 2,201.58
  4. Step 4: Simplify right side
    3,585.77x = 11,855,912.84
  5. Step 5: Solve for x
    x = 11,855,912.84/3,585.77
  6. Step 6: Final answer
    x = 3,306.38

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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.