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Finding the Fourth Proportional to 3,702.44, 5,552.75 and 1,105.38

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Solution

The fourth proportional to 3,702.44, 5,552.75 and 1,105.38 is: 1,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.44 : 5,552.75 = 1,105.38 : x
  2. Step 2: Convert to fraction form
    3,702.44/5,552.75 = 1,105.38/x
  3. Step 3: Cross multiply
    3,702.44x = 5,552.75 × 1,105.38
  4. Step 4: Simplify right side
    3,702.44x = 6,137,901.56
  5. Step 5: Solve for x
    x = 6,137,901.56/3,702.44
  6. Step 6: Final answer
    x = 1,657.80

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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.