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Finding the Fourth Proportional to 5,663.68, 8,492.25 and 2,196.88

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Solution

The fourth proportional to 5,663.68, 8,492.25 and 2,196.88 is: 3,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.68 : 8,492.25 = 2,196.88 : x
  2. Step 2: Convert to fraction form
    5,663.68/8,492.25 = 2,196.88/x
  3. Step 3: Cross multiply
    5,663.68x = 8,492.25 × 2,196.88
  4. Step 4: Simplify right side
    5,663.68x = 18,656,454.18
  5. Step 5: Solve for x
    x = 18,656,454.18/5,663.68
  6. Step 6: Final answer
    x = 3,294.05

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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.