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Finding the Fourth Proportional to 5,342.86, 8,015.34 and 1,644.46

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Solution

The fourth proportional to 5,342.86, 8,015.34 and 1,644.46 is: 2,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.86 : 8,015.34 = 1,644.46 : x
  2. Step 2: Convert to fraction form
    5,342.86/8,015.34 = 1,644.46/x
  3. Step 3: Cross multiply
    5,342.86x = 8,015.34 × 1,644.46
  4. Step 4: Simplify right side
    5,342.86x = 13,180,906.02
  5. Step 5: Solve for x
    x = 13,180,906.02/5,342.86
  6. Step 6: Final answer
    x = 2,467.01

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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.