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Finding the Fourth Proportional to 6,041.76, 8,335.22 and 3,679.80

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Solution

The fourth proportional to 6,041.76, 8,335.22 and 3,679.80 is: 5,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.76 : 8,335.22 = 3,679.80 : x
  2. Step 2: Convert to fraction form
    6,041.76/8,335.22 = 3,679.80/x
  3. Step 3: Cross multiply
    6,041.76x = 8,335.22 × 3,679.80
  4. Step 4: Simplify right side
    6,041.76x = 30,671,942.56
  5. Step 5: Solve for x
    x = 30,671,942.56/6,041.76
  6. Step 6: Final answer
    x = 5,076.66

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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.