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Finding the Fourth Proportional to 5,663.47, 8,492.56 and 2,154.13

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Solution

The fourth proportional to 5,663.47, 8,492.56 and 2,154.13 is: 3,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.47 : 8,492.56 = 2,154.13 : x
  2. Step 2: Convert to fraction form
    5,663.47/8,492.56 = 2,154.13/x
  3. Step 3: Cross multiply
    5,663.47x = 8,492.56 × 2,154.13
  4. Step 4: Simplify right side
    5,663.47x = 18,294,059.73
  5. Step 5: Solve for x
    x = 18,294,059.73/5,663.47
  6. Step 6: Final answer
    x = 3,230.19

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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.