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Finding the Fourth Proportional to 4,267.22, 5,889.94 and 3,713.18

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Solution

The fourth proportional to 4,267.22, 5,889.94 and 3,713.18 is: 5,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.22 : 5,889.94 = 3,713.18 : x
  2. Step 2: Convert to fraction form
    4,267.22/5,889.94 = 3,713.18/x
  3. Step 3: Cross multiply
    4,267.22x = 5,889.94 × 3,713.18
  4. Step 4: Simplify right side
    4,267.22x = 21,870,407.41
  5. Step 5: Solve for x
    x = 21,870,407.41/4,267.22
  6. Step 6: Final answer
    x = 5,125.21

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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.