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Finding the Fourth Proportional to 3,919.32, 5,879.33 and 997.63

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Solution

The fourth proportional to 3,919.32, 5,879.33 and 997.63 is: 1,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.32 : 5,879.33 = 997.63 : x
  2. Step 2: Convert to fraction form
    3,919.32/5,879.33 = 997.63/x
  3. Step 3: Cross multiply
    3,919.32x = 5,879.33 × 997.63
  4. Step 4: Simplify right side
    3,919.32x = 5,865,387.61
  5. Step 5: Solve for x
    x = 5,865,387.61/3,919.32
  6. Step 6: Final answer
    x = 1,496.53

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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.