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Finding the Fourth Proportional to 3,234.64, 4,460.52 and 2,643.28

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Solution

The fourth proportional to 3,234.64, 4,460.52 and 2,643.28 is: 3,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.64 : 4,460.52 = 2,643.28 : x
  2. Step 2: Convert to fraction form
    3,234.64/4,460.52 = 2,643.28/x
  3. Step 3: Cross multiply
    3,234.64x = 4,460.52 × 2,643.28
  4. Step 4: Simplify right side
    3,234.64x = 11,790,403.31
  5. Step 5: Solve for x
    x = 11,790,403.31/3,234.64
  6. Step 6: Final answer
    x = 3,645.04

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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.