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Finding the Fourth Proportional to 5,569, 7,682.28 and 3,471.64

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Solution

The fourth proportional to 5,569, 7,682.28 and 3,471.64 is: 4,789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569 : 7,682.28 = 3,471.64 : x
  2. Step 2: Convert to fraction form
    5,569/7,682.28 = 3,471.64/x
  3. Step 3: Cross multiply
    5,569x = 7,682.28 × 3,471.64
  4. Step 4: Simplify right side
    5,569x = 26,670,110.54
  5. Step 5: Solve for x
    x = 26,670,110.54/5,569
  6. Step 6: Final answer
    x = 4,789.03

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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.