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Finding the Fourth Proportional to 4,174.68, 6,257.16 and 1,864.56

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Solution

The fourth proportional to 4,174.68, 6,257.16 and 1,864.56 is: 2,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.68 : 6,257.16 = 1,864.56 : x
  2. Step 2: Convert to fraction form
    4,174.68/6,257.16 = 1,864.56/x
  3. Step 3: Cross multiply
    4,174.68x = 6,257.16 × 1,864.56
  4. Step 4: Simplify right side
    4,174.68x = 11,666,850.25
  5. Step 5: Solve for x
    x = 11,666,850.25/4,174.68
  6. Step 6: Final answer
    x = 2,794.67

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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.