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Finding the Fourth Proportional to 4,174.88, 6,262.99 and 1,709.03

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Solution

The fourth proportional to 4,174.88, 6,262.99 and 1,709.03 is: 2,563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.88 : 6,262.99 = 1,709.03 : x
  2. Step 2: Convert to fraction form
    4,174.88/6,262.99 = 1,709.03/x
  3. Step 3: Cross multiply
    4,174.88x = 6,262.99 × 1,709.03
  4. Step 4: Simplify right side
    4,174.88x = 10,703,649.18
  5. Step 5: Solve for x
    x = 10,703,649.18/4,174.88
  6. Step 6: Final answer
    x = 2,563.83

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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.