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Finding the Fourth Proportional to 4,174.44, 6,262.95 and 1,709.45

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Solution

The fourth proportional to 4,174.44, 6,262.95 and 1,709.45 is: 2,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.44 : 6,262.95 = 1,709.45 : x
  2. Step 2: Convert to fraction form
    4,174.44/6,262.95 = 1,709.45/x
  3. Step 3: Cross multiply
    4,174.44x = 6,262.95 × 1,709.45
  4. Step 4: Simplify right side
    4,174.44x = 10,706,233.69
  5. Step 5: Solve for x
    x = 10,706,233.69/4,174.44
  6. Step 6: Final answer
    x = 2,564.71

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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.