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Finding the Fourth Proportional to 4,109.67, 5,663.07 and 3,633.93

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Solution

The fourth proportional to 4,109.67, 5,663.07 and 3,633.93 is: 5,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.67 : 5,663.07 = 3,633.93 : x
  2. Step 2: Convert to fraction form
    4,109.67/5,663.07 = 3,633.93/x
  3. Step 3: Cross multiply
    4,109.67x = 5,663.07 × 3,633.93
  4. Step 4: Simplify right side
    4,109.67x = 20,579,199.97
  5. Step 5: Solve for x
    x = 20,579,199.97/4,109.67
  6. Step 6: Final answer
    x = 5,007.51

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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.