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Finding the Fourth Proportional to 3,887.60, 5,823.84 and 1,941.44

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Solution

The fourth proportional to 3,887.60, 5,823.84 and 1,941.44 is: 2,908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.60 : 5,823.84 = 1,941.44 : x
  2. Step 2: Convert to fraction form
    3,887.60/5,823.84 = 1,941.44/x
  3. Step 3: Cross multiply
    3,887.60x = 5,823.84 × 1,941.44
  4. Step 4: Simplify right side
    3,887.60x = 11,306,635.93
  5. Step 5: Solve for x
    x = 11,306,635.93/3,887.60
  6. Step 6: Final answer
    x = 2,908.38

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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.