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Finding the Fourth Proportional to 5,441.24, 7,508.54 and 3,203.54

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Solution

The fourth proportional to 5,441.24, 7,508.54 and 3,203.54 is: 4,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.24 : 7,508.54 = 3,203.54 : x
  2. Step 2: Convert to fraction form
    5,441.24/7,508.54 = 3,203.54/x
  3. Step 3: Cross multiply
    5,441.24x = 7,508.54 × 3,203.54
  4. Step 4: Simplify right side
    5,441.24x = 24,053,935.01
  5. Step 5: Solve for x
    x = 24,053,935.01/5,441.24
  6. Step 6: Final answer
    x = 4,420.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.