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Finding the Fourth Proportional to 3,145.62, 4,715.73 and 1,757.82

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Solution

The fourth proportional to 3,145.62, 4,715.73 and 1,757.82 is: 2,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.62 : 4,715.73 = 1,757.82 : x
  2. Step 2: Convert to fraction form
    3,145.62/4,715.73 = 1,757.82/x
  3. Step 3: Cross multiply
    3,145.62x = 4,715.73 × 1,757.82
  4. Step 4: Simplify right side
    3,145.62x = 8,289,404.51
  5. Step 5: Solve for x
    x = 8,289,404.51/3,145.62
  6. Step 6: Final answer
    x = 2,635.22

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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.