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Finding the Fourth Proportional to 4,550.64, 6,825.96 and 3,254.64

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Solution

The fourth proportional to 4,550.64, 6,825.96 and 3,254.64 is: 4,881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.64 : 6,825.96 = 3,254.64 : x
  2. Step 2: Convert to fraction form
    4,550.64/6,825.96 = 3,254.64/x
  3. Step 3: Cross multiply
    4,550.64x = 6,825.96 × 3,254.64
  4. Step 4: Simplify right side
    4,550.64x = 22,216,042.45
  5. Step 5: Solve for x
    x = 22,216,042.45/4,550.64
  6. Step 6: Final answer
    x = 4,881.96

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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.