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Finding the Fourth Proportional to 3,633.67, 5,441.73 and 2,068.93

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Solution

The fourth proportional to 3,633.67, 5,441.73 and 2,068.93 is: 3,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.67 : 5,441.73 = 2,068.93 : x
  2. Step 2: Convert to fraction form
    3,633.67/5,441.73 = 2,068.93/x
  3. Step 3: Cross multiply
    3,633.67x = 5,441.73 × 2,068.93
  4. Step 4: Simplify right side
    3,633.67x = 11,258,558.45
  5. Step 5: Solve for x
    x = 11,258,558.45/3,633.67
  6. Step 6: Final answer
    x = 3,098.40

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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.