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Finding the Fourth Proportional to 5,338.93, 8,009.15 and 1,641.47

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Solution

The fourth proportional to 5,338.93, 8,009.15 and 1,641.47 is: 2,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.93 : 8,009.15 = 1,641.47 : x
  2. Step 2: Convert to fraction form
    5,338.93/8,009.15 = 1,641.47/x
  3. Step 3: Cross multiply
    5,338.93x = 8,009.15 × 1,641.47
  4. Step 4: Simplify right side
    5,338.93x = 13,146,745.05
  5. Step 5: Solve for x
    x = 13,146,745.05/5,338.93
  6. Step 6: Final answer
    x = 2,462.43

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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.