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Finding the Fourth Proportional to 5,442.54, 7,512.25 and 3,205.70

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Solution

The fourth proportional to 5,442.54, 7,512.25 and 3,205.70 is: 4,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.54 : 7,512.25 = 3,205.70 : x
  2. Step 2: Convert to fraction form
    5,442.54/7,512.25 = 3,205.70/x
  3. Step 3: Cross multiply
    5,442.54x = 7,512.25 × 3,205.70
  4. Step 4: Simplify right side
    5,442.54x = 24,082,019.83
  5. Step 5: Solve for x
    x = 24,082,019.83/5,442.54
  6. Step 6: Final answer
    x = 4,424.78

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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.