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Finding the Fourth Proportional to 4,203.92, 6,302.22 and 2,122.18

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Solution

The fourth proportional to 4,203.92, 6,302.22 and 2,122.18 is: 3,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.92 : 6,302.22 = 2,122.18 : x
  2. Step 2: Convert to fraction form
    4,203.92/6,302.22 = 2,122.18/x
  3. Step 3: Cross multiply
    4,203.92x = 6,302.22 × 2,122.18
  4. Step 4: Simplify right side
    4,203.92x = 13,374,445.24
  5. Step 5: Solve for x
    x = 13,374,445.24/4,203.92
  6. Step 6: Final answer
    x = 3,181.42

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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.