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Finding the Fourth Proportional to 4,414.75, 6,619.83 and 1,492

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Solution

The fourth proportional to 4,414.75, 6,619.83 and 1,492 is: 2,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414.75 : 6,619.83 = 1,492 : x
  2. Step 2: Convert to fraction form
    4,414.75/6,619.83 = 1,492/x
  3. Step 3: Cross multiply
    4,414.75x = 6,619.83 × 1,492
  4. Step 4: Simplify right side
    4,414.75x = 9,876,786.36
  5. Step 5: Solve for x
    x = 9,876,786.36/4,414.75
  6. Step 6: Final answer
    x = 2,237.22

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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.