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Finding the Fourth Proportional to 3,920.76, 5,387.63 and 3,133.44

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Solution

The fourth proportional to 3,920.76, 5,387.63 and 3,133.44 is: 4,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.76 : 5,387.63 = 3,133.44 : x
  2. Step 2: Convert to fraction form
    3,920.76/5,387.63 = 3,133.44/x
  3. Step 3: Cross multiply
    3,920.76x = 5,387.63 × 3,133.44
  4. Step 4: Simplify right side
    3,920.76x = 16,881,799.68
  5. Step 5: Solve for x
    x = 16,881,799.68/3,920.76
  6. Step 6: Final answer
    x = 4,305.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.