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Finding the Fourth Proportional to 5,416.97, 7,475.42 and 3,059.27

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Solution

The fourth proportional to 5,416.97, 7,475.42 and 3,059.27 is: 4,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.97 : 7,475.42 = 3,059.27 : x
  2. Step 2: Convert to fraction form
    5,416.97/7,475.42 = 3,059.27/x
  3. Step 3: Cross multiply
    5,416.97x = 7,475.42 × 3,059.27
  4. Step 4: Simplify right side
    5,416.97x = 22,869,298.41
  5. Step 5: Solve for x
    x = 22,869,298.41/5,416.97
  6. Step 6: Final answer
    x = 4,221.79

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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.