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Finding the Fourth Proportional to 6,333.36, 8,738.66 and 3,679.40

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Solution

The fourth proportional to 6,333.36, 8,738.66 and 3,679.40 is: 5,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.36 : 8,738.66 = 3,679.40 : x
  2. Step 2: Convert to fraction form
    6,333.36/8,738.66 = 3,679.40/x
  3. Step 3: Cross multiply
    6,333.36x = 8,738.66 × 3,679.40
  4. Step 4: Simplify right side
    6,333.36x = 32,153,025.60
  5. Step 5: Solve for x
    x = 32,153,025.60/6,333.36
  6. Step 6: Final answer
    x = 5,076.77

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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.