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Finding the Fourth Proportional to 4,494.72, 6,189.84 and 4,480.14

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Solution

The fourth proportional to 4,494.72, 6,189.84 and 4,480.14 is: 6,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.72 : 6,189.84 = 4,480.14 : x
  2. Step 2: Convert to fraction form
    4,494.72/6,189.84 = 4,480.14/x
  3. Step 3: Cross multiply
    4,494.72x = 6,189.84 × 4,480.14
  4. Step 4: Simplify right side
    4,494.72x = 27,731,349.78
  5. Step 5: Solve for x
    x = 27,731,349.78/4,494.72
  6. Step 6: Final answer
    x = 6,169.76

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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.