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Finding the Fourth Proportional to 5,489.96, 8,236.06 and 1,792.10

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Solution

The fourth proportional to 5,489.96, 8,236.06 and 1,792.10 is: 2,688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.96 : 8,236.06 = 1,792.10 : x
  2. Step 2: Convert to fraction form
    5,489.96/8,236.06 = 1,792.10/x
  3. Step 3: Cross multiply
    5,489.96x = 8,236.06 × 1,792.10
  4. Step 4: Simplify right side
    5,489.96x = 14,759,859.24
  5. Step 5: Solve for x
    x = 14,759,859.24/5,489.96
  6. Step 6: Final answer
    x = 2,688.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.