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Finding the Fourth Proportional to 3,752.37, 5,626.94 and 1,442.25

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Solution

The fourth proportional to 3,752.37, 5,626.94 and 1,442.25 is: 2,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.37 : 5,626.94 = 1,442.25 : x
  2. Step 2: Convert to fraction form
    3,752.37/5,626.94 = 1,442.25/x
  3. Step 3: Cross multiply
    3,752.37x = 5,626.94 × 1,442.25
  4. Step 4: Simplify right side
    3,752.37x = 8,115,447.00
  5. Step 5: Solve for x
    x = 8,115,447.00/3,752.37
  6. Step 6: Final answer
    x = 2,162.75

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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.