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Finding the Fourth Proportional to 5,201.62, 7,806.08 and 3,007.33

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Solution

The fourth proportional to 5,201.62, 7,806.08 and 3,007.33 is: 4,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.62 : 7,806.08 = 3,007.33 : x
  2. Step 2: Convert to fraction form
    5,201.62/7,806.08 = 3,007.33/x
  3. Step 3: Cross multiply
    5,201.62x = 7,806.08 × 3,007.33
  4. Step 4: Simplify right side
    5,201.62x = 23,475,458.57
  5. Step 5: Solve for x
    x = 23,475,458.57/5,201.62
  6. Step 6: Final answer
    x = 4,513.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.