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Finding the Fourth Proportional to 3,907.58, 5,861.19 and 1,442.24

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Solution

The fourth proportional to 3,907.58, 5,861.19 and 1,442.24 is: 2,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.58 : 5,861.19 = 1,442.24 : x
  2. Step 2: Convert to fraction form
    3,907.58/5,861.19 = 1,442.24/x
  3. Step 3: Cross multiply
    3,907.58x = 5,861.19 × 1,442.24
  4. Step 4: Simplify right side
    3,907.58x = 8,453,242.67
  5. Step 5: Solve for x
    x = 8,453,242.67/3,907.58
  6. Step 6: Final answer
    x = 2,163.29

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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.