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Finding the Fourth Proportional to 4,188.23, 6,282.33 and 1,721.32

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Solution

The fourth proportional to 4,188.23, 6,282.33 and 1,721.32 is: 2,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.23 : 6,282.33 = 1,721.32 : x
  2. Step 2: Convert to fraction form
    4,188.23/6,282.33 = 1,721.32/x
  3. Step 3: Cross multiply
    4,188.23x = 6,282.33 × 1,721.32
  4. Step 4: Simplify right side
    4,188.23x = 10,813,900.28
  5. Step 5: Solve for x
    x = 10,813,900.28/4,188.23
  6. Step 6: Final answer
    x = 2,581.97

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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.