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Finding the Fourth Proportional to 5,342.36, 8,014.29 and 1,644.89

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Solution

The fourth proportional to 5,342.36, 8,014.29 and 1,644.89 is: 2,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.36 : 8,014.29 = 1,644.89 : x
  2. Step 2: Convert to fraction form
    5,342.36/8,014.29 = 1,644.89/x
  3. Step 3: Cross multiply
    5,342.36x = 8,014.29 × 1,644.89
  4. Step 4: Simplify right side
    5,342.36x = 13,182,585.41
  5. Step 5: Solve for x
    x = 13,182,585.41/5,342.36
  6. Step 6: Final answer
    x = 2,467.56

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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.