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Finding the Fourth Proportional to 4,561.95, 6,842.34 and 1,442.27

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Solution

The fourth proportional to 4,561.95, 6,842.34 and 1,442.27 is: 2,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.95 : 6,842.34 = 1,442.27 : x
  2. Step 2: Convert to fraction form
    4,561.95/6,842.34 = 1,442.27/x
  3. Step 3: Cross multiply
    4,561.95x = 6,842.34 × 1,442.27
  4. Step 4: Simplify right side
    4,561.95x = 9,868,512.73
  5. Step 5: Solve for x
    x = 9,868,512.73/4,561.95
  6. Step 6: Final answer
    x = 2,163.22

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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.