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Finding the Fourth Proportional to 5,663.64, 8,444.67 and 5,446.92

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Solution

The fourth proportional to 5,663.64, 8,444.67 and 5,446.92 is: 8,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.64 : 8,444.67 = 5,446.92 : x
  2. Step 2: Convert to fraction form
    5,663.64/8,444.67 = 5,446.92/x
  3. Step 3: Cross multiply
    5,663.64x = 8,444.67 × 5,446.92
  4. Step 4: Simplify right side
    5,663.64x = 45,997,441.92
  5. Step 5: Solve for x
    x = 45,997,441.92/5,663.64
  6. Step 6: Final answer
    x = 8,121.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.