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Finding the Fourth Proportional to 3,884.40, 5,822.94 and 1,934.76

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Solution

The fourth proportional to 3,884.40, 5,822.94 and 1,934.76 is: 2,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.40 : 5,822.94 = 1,934.76 : x
  2. Step 2: Convert to fraction form
    3,884.40/5,822.94 = 1,934.76/x
  3. Step 3: Cross multiply
    3,884.40x = 5,822.94 × 1,934.76
  4. Step 4: Simplify right side
    3,884.40x = 11,265,991.39
  5. Step 5: Solve for x
    x = 11,265,991.39/3,884.40
  6. Step 6: Final answer
    x = 2,900.32

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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.