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Finding the Fourth Proportional to 3,424.88, 5,137.62 and 1,203.52

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Solution

The fourth proportional to 3,424.88, 5,137.62 and 1,203.52 is: 1,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.88 : 5,137.62 = 1,203.52 : x
  2. Step 2: Convert to fraction form
    3,424.88/5,137.62 = 1,203.52/x
  3. Step 3: Cross multiply
    3,424.88x = 5,137.62 × 1,203.52
  4. Step 4: Simplify right side
    3,424.88x = 6,183,236.75
  5. Step 5: Solve for x
    x = 6,183,236.75/3,424.88
  6. Step 6: Final answer
    x = 1,805.39

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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.