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Finding the Fourth Proportional to 5,625.60, 7,761.60 and 3,268.16

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Solution

The fourth proportional to 5,625.60, 7,761.60 and 3,268.16 is: 4,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.60 : 7,761.60 = 3,268.16 : x
  2. Step 2: Convert to fraction form
    5,625.60/7,761.60 = 3,268.16/x
  3. Step 3: Cross multiply
    5,625.60x = 7,761.60 × 3,268.16
  4. Step 4: Simplify right side
    5,625.60x = 25,366,150.66
  5. Step 5: Solve for x
    x = 25,366,150.66/5,625.60
  6. Step 6: Final answer
    x = 4,509.06

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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.