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Finding the Fourth Proportional to 5,339.64, 7,997.76 and 4,404.66

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Solution

The fourth proportional to 5,339.64, 7,997.76 and 4,404.66 is: 6,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.64 : 7,997.76 = 4,404.66 : x
  2. Step 2: Convert to fraction form
    5,339.64/7,997.76 = 4,404.66/x
  3. Step 3: Cross multiply
    5,339.64x = 7,997.76 × 4,404.66
  4. Step 4: Simplify right side
    5,339.64x = 35,227,413.56
  5. Step 5: Solve for x
    x = 35,227,413.56/5,339.64
  6. Step 6: Final answer
    x = 6,597.34

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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.