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Finding the Fourth Proportional to 5,201.68, 7,764.52 and 4,513.20

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Solution

The fourth proportional to 5,201.68, 7,764.52 and 4,513.20 is: 6,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.68 : 7,764.52 = 4,513.20 : x
  2. Step 2: Convert to fraction form
    5,201.68/7,764.52 = 4,513.20/x
  3. Step 3: Cross multiply
    5,201.68x = 7,764.52 × 4,513.20
  4. Step 4: Simplify right side
    5,201.68x = 35,042,831.66
  5. Step 5: Solve for x
    x = 35,042,831.66/5,201.68
  6. Step 6: Final answer
    x = 6,736.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.