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Finding the Fourth Proportional to 4,272.92, 6,409.98 and 1,806.20

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Solution

The fourth proportional to 4,272.92, 6,409.98 and 1,806.20 is: 2,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.92 : 6,409.98 = 1,806.20 : x
  2. Step 2: Convert to fraction form
    4,272.92/6,409.98 = 1,806.20/x
  3. Step 3: Cross multiply
    4,272.92x = 6,409.98 × 1,806.20
  4. Step 4: Simplify right side
    4,272.92x = 11,577,705.88
  5. Step 5: Solve for x
    x = 11,577,705.88/4,272.92
  6. Step 6: Final answer
    x = 2,709.55

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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.