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Finding the Fourth Proportional to 5,489.77, 8,235.80 and 1,792.21

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Solution

The fourth proportional to 5,489.77, 8,235.80 and 1,792.21 is: 2,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.77 : 8,235.80 = 1,792.21 : x
  2. Step 2: Convert to fraction form
    5,489.77/8,235.80 = 1,792.21/x
  3. Step 3: Cross multiply
    5,489.77x = 8,235.80 × 1,792.21
  4. Step 4: Simplify right side
    5,489.77x = 14,760,260.29
  5. Step 5: Solve for x
    x = 14,760,260.29/5,489.77
  6. Step 6: Final answer
    x = 2,688.69

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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.