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Finding the Fourth Proportional to 5,342.66, 8,013.99 and 1,644.81

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Solution

The fourth proportional to 5,342.66, 8,013.99 and 1,644.81 is: 2,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.66 : 8,013.99 = 1,644.81 : x
  2. Step 2: Convert to fraction form
    5,342.66/8,013.99 = 1,644.81/x
  3. Step 3: Cross multiply
    5,342.66x = 8,013.99 × 1,644.81
  4. Step 4: Simplify right side
    5,342.66x = 13,181,457.76
  5. Step 5: Solve for x
    x = 13,181,457.76/5,342.66
  6. Step 6: Final answer
    x = 2,467.21

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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.