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Finding the Fourth Proportional to 3,673.93, 5,538.42 and 3,429.53

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Solution

The fourth proportional to 3,673.93, 5,538.42 and 3,429.53 is: 5,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.93 : 5,538.42 = 3,429.53 : x
  2. Step 2: Convert to fraction form
    3,673.93/5,538.42 = 3,429.53/x
  3. Step 3: Cross multiply
    3,673.93x = 5,538.42 × 3,429.53
  4. Step 4: Simplify right side
    3,673.93x = 18,994,149.85
  5. Step 5: Solve for x
    x = 18,994,149.85/3,673.93
  6. Step 6: Final answer
    x = 5,169.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.