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Finding the Fourth Proportional to 5,600.16, 7,728.48 and 3,243.60

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Solution

The fourth proportional to 5,600.16, 7,728.48 and 3,243.60 is: 4,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.16 : 7,728.48 = 3,243.60 : x
  2. Step 2: Convert to fraction form
    5,600.16/7,728.48 = 3,243.60/x
  3. Step 3: Cross multiply
    5,600.16x = 7,728.48 × 3,243.60
  4. Step 4: Simplify right side
    5,600.16x = 25,068,097.73
  5. Step 5: Solve for x
    x = 25,068,097.73/5,600.16
  6. Step 6: Final answer
    x = 4,476.32

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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.