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Finding the Fourth Proportional to 3,264.56, 4,892.73 and 2,341.92

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Solution

The fourth proportional to 3,264.56, 4,892.73 and 2,341.92 is: 3,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.56 : 4,892.73 = 2,341.92 : x
  2. Step 2: Convert to fraction form
    3,264.56/4,892.73 = 2,341.92/x
  3. Step 3: Cross multiply
    3,264.56x = 4,892.73 × 2,341.92
  4. Step 4: Simplify right side
    3,264.56x = 11,458,382.24
  5. Step 5: Solve for x
    x = 11,458,382.24/3,264.56
  6. Step 6: Final answer
    x = 3,509.94

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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.