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Finding the Fourth Proportional to 3,745.92, 5,618.82 and 1,437.42

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Solution

The fourth proportional to 3,745.92, 5,618.82 and 1,437.42 is: 2,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.92 : 5,618.82 = 1,437.42 : x
  2. Step 2: Convert to fraction form
    3,745.92/5,618.82 = 1,437.42/x
  3. Step 3: Cross multiply
    3,745.92x = 5,618.82 × 1,437.42
  4. Step 4: Simplify right side
    3,745.92x = 8,076,604.24
  5. Step 5: Solve for x
    x = 8,076,604.24/3,745.92
  6. Step 6: Final answer
    x = 2,156.11

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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.