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Finding the Fourth Proportional to 5,199.36, 7,785.06 and 3,960.87

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Solution

The fourth proportional to 5,199.36, 7,785.06 and 3,960.87 is: 5,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.36 : 7,785.06 = 3,960.87 : x
  2. Step 2: Convert to fraction form
    5,199.36/7,785.06 = 3,960.87/x
  3. Step 3: Cross multiply
    5,199.36x = 7,785.06 × 3,960.87
  4. Step 4: Simplify right side
    5,199.36x = 30,835,610.60
  5. Step 5: Solve for x
    x = 30,835,610.60/5,199.36
  6. Step 6: Final answer
    x = 5,930.66

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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.