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Finding the Fourth Proportional to 4,263.78, 5,884.03 and 2,471.60

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Solution

The fourth proportional to 4,263.78, 5,884.03 and 2,471.60 is: 3,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263.78 : 5,884.03 = 2,471.60 : x
  2. Step 2: Convert to fraction form
    4,263.78/5,884.03 = 2,471.60/x
  3. Step 3: Cross multiply
    4,263.78x = 5,884.03 × 2,471.60
  4. Step 4: Simplify right side
    4,263.78x = 14,542,977.08
  5. Step 5: Solve for x
    x = 14,542,977.08/4,263.78
  6. Step 6: Final answer
    x = 3,410.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.