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Finding the Fourth Proportional to 4,322.50, 5,965.06 and 2,531.22

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Solution

The fourth proportional to 4,322.50, 5,965.06 and 2,531.22 is: 3,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.50 : 5,965.06 = 2,531.22 : x
  2. Step 2: Convert to fraction form
    4,322.50/5,965.06 = 2,531.22/x
  3. Step 3: Cross multiply
    4,322.50x = 5,965.06 × 2,531.22
  4. Step 4: Simplify right side
    4,322.50x = 15,098,879.17
  5. Step 5: Solve for x
    x = 15,098,879.17/4,322.50
  6. Step 6: Final answer
    x = 3,493.09

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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.