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Finding the Fourth Proportional to 5,575.63, 7,694.41 and 3,057.71

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Solution

The fourth proportional to 5,575.63, 7,694.41 and 3,057.71 is: 4,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.63 : 7,694.41 = 3,057.71 : x
  2. Step 2: Convert to fraction form
    5,575.63/7,694.41 = 3,057.71/x
  3. Step 3: Cross multiply
    5,575.63x = 7,694.41 × 3,057.71
  4. Step 4: Simplify right side
    5,575.63x = 23,527,250.87
  5. Step 5: Solve for x
    x = 23,527,250.87/5,575.63
  6. Step 6: Final answer
    x = 4,219.66

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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.