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Finding the Fourth Proportional to 3,615.30, 5,422.95 and 1,422.83

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Solution

The fourth proportional to 3,615.30, 5,422.95 and 1,422.83 is: 2,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.30 : 5,422.95 = 1,422.83 : x
  2. Step 2: Convert to fraction form
    3,615.30/5,422.95 = 1,422.83/x
  3. Step 3: Cross multiply
    3,615.30x = 5,422.95 × 1,422.83
  4. Step 4: Simplify right side
    3,615.30x = 7,715,935.95
  5. Step 5: Solve for x
    x = 7,715,935.95/3,615.30
  6. Step 6: Final answer
    x = 2,134.25

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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.