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Finding the Fourth Proportional to 5,663.89, 7,816.26 and 3,146.23

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Solution

The fourth proportional to 5,663.89, 7,816.26 and 3,146.23 is: 4,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.89 : 7,816.26 = 3,146.23 : x
  2. Step 2: Convert to fraction form
    5,663.89/7,816.26 = 3,146.23/x
  3. Step 3: Cross multiply
    5,663.89x = 7,816.26 × 3,146.23
  4. Step 4: Simplify right side
    5,663.89x = 24,591,729.30
  5. Step 5: Solve for x
    x = 24,591,729.30/5,663.89
  6. Step 6: Final answer
    x = 4,341.85

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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.