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Finding the Fourth Proportional to 3,422.01, 5,133.03 and 1,447.95

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Solution

The fourth proportional to 3,422.01, 5,133.03 and 1,447.95 is: 2,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.01 : 5,133.03 = 1,447.95 : x
  2. Step 2: Convert to fraction form
    3,422.01/5,133.03 = 1,447.95/x
  3. Step 3: Cross multiply
    3,422.01x = 5,133.03 × 1,447.95
  4. Step 4: Simplify right side
    3,422.01x = 7,432,370.79
  5. Step 5: Solve for x
    x = 7,432,370.79/3,422.01
  6. Step 6: Final answer
    x = 2,171.93

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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.