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Finding the Fourth Proportional to 5,202.96, 7,782.84 and 3,960.96

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Solution

The fourth proportional to 5,202.96, 7,782.84 and 3,960.96 is: 5,925.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.96 : 7,782.84 = 3,960.96 : x
  2. Step 2: Convert to fraction form
    5,202.96/7,782.84 = 3,960.96/x
  3. Step 3: Cross multiply
    5,202.96x = 7,782.84 × 3,960.96
  4. Step 4: Simplify right side
    5,202.96x = 30,827,517.93
  5. Step 5: Solve for x
    x = 30,827,517.93/5,202.96
  6. Step 6: Final answer
    x = 5,925.00

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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.