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Finding the Fourth Proportional to 6,333.84, 8,739.72 and 3,538.80

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Solution

The fourth proportional to 6,333.84, 8,739.72 and 3,538.80 is: 4,883.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.84 : 8,739.72 = 3,538.80 : x
  2. Step 2: Convert to fraction form
    6,333.84/8,739.72 = 3,538.80/x
  3. Step 3: Cross multiply
    6,333.84x = 8,739.72 × 3,538.80
  4. Step 4: Simplify right side
    6,333.84x = 30,928,121.14
  5. Step 5: Solve for x
    x = 30,928,121.14/6,333.84
  6. Step 6: Final answer
    x = 4,883.00

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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.