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Finding the Fourth Proportional to 4,400.12, 6,600.49 and 1,477.44

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Solution

The fourth proportional to 4,400.12, 6,600.49 and 1,477.44 is: 2,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.12 : 6,600.49 = 1,477.44 : x
  2. Step 2: Convert to fraction form
    4,400.12/6,600.49 = 1,477.44/x
  3. Step 3: Cross multiply
    4,400.12x = 6,600.49 × 1,477.44
  4. Step 4: Simplify right side
    4,400.12x = 9,751,824.25
  5. Step 5: Solve for x
    x = 9,751,824.25/4,400.12
  6. Step 6: Final answer
    x = 2,216.26

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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.