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Finding the Fourth Proportional to 4,149.36, 6,224.76 and 1,552.32

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Solution

The fourth proportional to 4,149.36, 6,224.76 and 1,552.32 is: 2,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.36 : 6,224.76 = 1,552.32 : x
  2. Step 2: Convert to fraction form
    4,149.36/6,224.76 = 1,552.32/x
  3. Step 3: Cross multiply
    4,149.36x = 6,224.76 × 1,552.32
  4. Step 4: Simplify right side
    4,149.36x = 9,662,819.44
  5. Step 5: Solve for x
    x = 9,662,819.44/4,149.36
  6. Step 6: Final answer
    x = 2,328.75

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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.