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Finding the Fourth Proportional to 5,342.29, 8,014.19 and 1,644.83

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Solution

The fourth proportional to 5,342.29, 8,014.19 and 1,644.83 is: 2,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.29 : 8,014.19 = 1,644.83 : x
  2. Step 2: Convert to fraction form
    5,342.29/8,014.19 = 1,644.83/x
  3. Step 3: Cross multiply
    5,342.29x = 8,014.19 × 1,644.83
  4. Step 4: Simplify right side
    5,342.29x = 13,181,964.21
  5. Step 5: Solve for x
    x = 13,181,964.21/5,342.29
  6. Step 6: Final answer
    x = 2,467.47

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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.