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Finding the Fourth Proportional to 5,205.26, 7,174.83 and 4,068.95

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Solution

The fourth proportional to 5,205.26, 7,174.83 and 4,068.95 is: 5,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.26 : 7,174.83 = 4,068.95 : x
  2. Step 2: Convert to fraction form
    5,205.26/7,174.83 = 4,068.95/x
  3. Step 3: Cross multiply
    5,205.26x = 7,174.83 × 4,068.95
  4. Step 4: Simplify right side
    5,205.26x = 29,194,024.53
  5. Step 5: Solve for x
    x = 29,194,024.53/5,205.26
  6. Step 6: Final answer
    x = 5,608.56

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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.