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Finding the Fourth Proportional to 5,663.93, 8,492.65 and 2,197.13

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Solution

The fourth proportional to 5,663.93, 8,492.65 and 2,197.13 is: 3,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.93 : 8,492.65 = 2,197.13 : x
  2. Step 2: Convert to fraction form
    5,663.93/8,492.65 = 2,197.13/x
  3. Step 3: Cross multiply
    5,663.93x = 8,492.65 × 2,197.13
  4. Step 4: Simplify right side
    5,663.93x = 18,659,456.09
  5. Step 5: Solve for x
    x = 18,659,456.09/5,663.93
  6. Step 6: Final answer
    x = 3,294.44

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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.