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Finding the Fourth Proportional to 5,361.86, 8,041.17 and 1,663.22

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Solution

The fourth proportional to 5,361.86, 8,041.17 and 1,663.22 is: 2,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.86 : 8,041.17 = 1,663.22 : x
  2. Step 2: Convert to fraction form
    5,361.86/8,041.17 = 1,663.22/x
  3. Step 3: Cross multiply
    5,361.86x = 8,041.17 × 1,663.22
  4. Step 4: Simplify right side
    5,361.86x = 13,374,234.77
  5. Step 5: Solve for x
    x = 13,374,234.77/5,361.86
  6. Step 6: Final answer
    x = 2,494.33

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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.