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Finding the Fourth Proportional to 5,255.06, 7,255.36 and 3,268.32

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Solution

The fourth proportional to 5,255.06, 7,255.36 and 3,268.32 is: 4,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.06 : 7,255.36 = 3,268.32 : x
  2. Step 2: Convert to fraction form
    5,255.06/7,255.36 = 3,268.32/x
  3. Step 3: Cross multiply
    5,255.06x = 7,255.36 × 3,268.32
  4. Step 4: Simplify right side
    5,255.06x = 23,712,838.20
  5. Step 5: Solve for x
    x = 23,712,838.20/5,255.06
  6. Step 6: Final answer
    x = 4,512.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.