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Finding the Fourth Proportional to 5,663.89, 8,492.47 and 2,154.15

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Solution

The fourth proportional to 5,663.89, 8,492.47 and 2,154.15 is: 3,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.89 : 8,492.47 = 2,154.15 : x
  2. Step 2: Convert to fraction form
    5,663.89/8,492.47 = 2,154.15/x
  3. Step 3: Cross multiply
    5,663.89x = 8,492.47 × 2,154.15
  4. Step 4: Simplify right side
    5,663.89x = 18,294,054.25
  5. Step 5: Solve for x
    x = 18,294,054.25/5,663.89
  6. Step 6: Final answer
    x = 3,229.95

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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.