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Finding the Fourth Proportional to 3,920.58, 5,881.02 and 1,422.27

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Solution

The fourth proportional to 3,920.58, 5,881.02 and 1,422.27 is: 2,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.58 : 5,881.02 = 1,422.27 : x
  2. Step 2: Convert to fraction form
    3,920.58/5,881.02 = 1,422.27/x
  3. Step 3: Cross multiply
    3,920.58x = 5,881.02 × 1,422.27
  4. Step 4: Simplify right side
    3,920.58x = 8,364,398.32
  5. Step 5: Solve for x
    x = 8,364,398.32/3,920.58
  6. Step 6: Final answer
    x = 2,133.46

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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.