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Finding the Fourth Proportional to 5,493.48, 8,239.98 and 1,597.80

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Solution

The fourth proportional to 5,493.48, 8,239.98 and 1,597.80 is: 2,396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.48 : 8,239.98 = 1,597.80 : x
  2. Step 2: Convert to fraction form
    5,493.48/8,239.98 = 1,597.80/x
  3. Step 3: Cross multiply
    5,493.48x = 8,239.98 × 1,597.80
  4. Step 4: Simplify right side
    5,493.48x = 13,165,840.04
  5. Step 5: Solve for x
    x = 13,165,840.04/5,493.48
  6. Step 6: Final answer
    x = 2,396.63

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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.