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Finding the Fourth Proportional to 4,205.91, 6,305.22 and 2,124.18

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Solution

The fourth proportional to 4,205.91, 6,305.22 and 2,124.18 is: 3,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.91 : 6,305.22 = 2,124.18 : x
  2. Step 2: Convert to fraction form
    4,205.91/6,305.22 = 2,124.18/x
  3. Step 3: Cross multiply
    4,205.91x = 6,305.22 × 2,124.18
  4. Step 4: Simplify right side
    4,205.91x = 13,393,422.22
  5. Step 5: Solve for x
    x = 13,393,422.22/4,205.91
  6. Step 6: Final answer
    x = 3,184.43

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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.