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Finding the Fourth Proportional to 5,194.23, 7,167.98 and 3,203.99

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Solution

The fourth proportional to 5,194.23, 7,167.98 and 3,203.99 is: 4,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.23 : 7,167.98 = 3,203.99 : x
  2. Step 2: Convert to fraction form
    5,194.23/7,167.98 = 3,203.99/x
  3. Step 3: Cross multiply
    5,194.23x = 7,167.98 × 3,203.99
  4. Step 4: Simplify right side
    5,194.23x = 22,966,136.24
  5. Step 5: Solve for x
    x = 22,966,136.24/5,194.23
  6. Step 6: Final answer
    x = 4,421.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.