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Finding the Fourth Proportional to 6,334.78, 8,742.46 and 3,646.80

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Solution

The fourth proportional to 6,334.78, 8,742.46 and 3,646.80 is: 5,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.78 : 8,742.46 = 3,646.80 : x
  2. Step 2: Convert to fraction form
    6,334.78/8,742.46 = 3,646.80/x
  3. Step 3: Cross multiply
    6,334.78x = 8,742.46 × 3,646.80
  4. Step 4: Simplify right side
    6,334.78x = 31,882,003.13
  5. Step 5: Solve for x
    x = 31,882,003.13/6,334.78
  6. Step 6: Final answer
    x = 5,032.85

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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.