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Finding the Fourth Proportional to 4,214.44, 5,814.22 and 2,619.95

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Solution

The fourth proportional to 4,214.44, 5,814.22 and 2,619.95 is: 3,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.44 : 5,814.22 = 2,619.95 : x
  2. Step 2: Convert to fraction form
    4,214.44/5,814.22 = 2,619.95/x
  3. Step 3: Cross multiply
    4,214.44x = 5,814.22 × 2,619.95
  4. Step 4: Simplify right side
    4,214.44x = 15,232,965.69
  5. Step 5: Solve for x
    x = 15,232,965.69/4,214.44
  6. Step 6: Final answer
    x = 3,614.47

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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.