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Finding the Fourth Proportional to 5,944.88, 8,207.76 and 3,821.32

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Solution

The fourth proportional to 5,944.88, 8,207.76 and 3,821.32 is: 5,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.88 : 8,207.76 = 3,821.32 : x
  2. Step 2: Convert to fraction form
    5,944.88/8,207.76 = 3,821.32/x
  3. Step 3: Cross multiply
    5,944.88x = 8,207.76 × 3,821.32
  4. Step 4: Simplify right side
    5,944.88x = 31,364,477.44
  5. Step 5: Solve for x
    x = 31,364,477.44/5,944.88
  6. Step 6: Final answer
    x = 5,275.88

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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.