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Finding the Fourth Proportional to 5,628.80, 7,760.52 and 3,857.33

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Solution

The fourth proportional to 5,628.80, 7,760.52 and 3,857.33 is: 5,318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.80 : 7,760.52 = 3,857.33 : x
  2. Step 2: Convert to fraction form
    5,628.80/7,760.52 = 3,857.33/x
  3. Step 3: Cross multiply
    5,628.80x = 7,760.52 × 3,857.33
  4. Step 4: Simplify right side
    5,628.80x = 29,934,847.81
  5. Step 5: Solve for x
    x = 29,934,847.81/5,628.80
  6. Step 6: Final answer
    x = 5,318.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.