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Finding the Fourth Proportional to 3,635.19, 5,447.25 and 1,442.79

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Solution

The fourth proportional to 3,635.19, 5,447.25 and 1,442.79 is: 2,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.19 : 5,447.25 = 1,442.79 : x
  2. Step 2: Convert to fraction form
    3,635.19/5,447.25 = 1,442.79/x
  3. Step 3: Cross multiply
    3,635.19x = 5,447.25 × 1,442.79
  4. Step 4: Simplify right side
    3,635.19x = 7,859,237.83
  5. Step 5: Solve for x
    x = 7,859,237.83/3,635.19
  6. Step 6: Final answer
    x = 2,161.99

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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.