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Finding the Fourth Proportional to 3,804.64, 5,249.76 and 2,312.44

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Solution

The fourth proportional to 3,804.64, 5,249.76 and 2,312.44 is: 3,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.64 : 5,249.76 = 2,312.44 : x
  2. Step 2: Convert to fraction form
    3,804.64/5,249.76 = 2,312.44/x
  3. Step 3: Cross multiply
    3,804.64x = 5,249.76 × 2,312.44
  4. Step 4: Simplify right side
    3,804.64x = 12,139,755.01
  5. Step 5: Solve for x
    x = 12,139,755.01/3,804.64
  6. Step 6: Final answer
    x = 3,190.78

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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.