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Finding the Fourth Proportional to 5,772.06, 7,968.64 and 3,785.54

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Solution

The fourth proportional to 5,772.06, 7,968.64 and 3,785.54 is: 5,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.06 : 7,968.64 = 3,785.54 : x
  2. Step 2: Convert to fraction form
    5,772.06/7,968.64 = 3,785.54/x
  3. Step 3: Cross multiply
    5,772.06x = 7,968.64 × 3,785.54
  4. Step 4: Simplify right side
    5,772.06x = 30,165,605.47
  5. Step 5: Solve for x
    x = 30,165,605.47/5,772.06
  6. Step 6: Final answer
    x = 5,226.14

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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.