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Finding the Fourth Proportional to 3,633.57, 5,441.78 and 3,110.58

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Solution

The fourth proportional to 3,633.57, 5,441.78 and 3,110.58 is: 4,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.57 : 5,441.78 = 3,110.58 : x
  2. Step 2: Convert to fraction form
    3,633.57/5,441.78 = 3,110.58/x
  3. Step 3: Cross multiply
    3,633.57x = 5,441.78 × 3,110.58
  4. Step 4: Simplify right side
    3,633.57x = 16,927,099.81
  5. Step 5: Solve for x
    x = 16,927,099.81/3,633.57
  6. Step 6: Final answer
    x = 4,658.53

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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.