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Finding the Fourth Proportional to 6,333.84, 8,741.16 and 3,539.16

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Solution

The fourth proportional to 6,333.84, 8,741.16 and 3,539.16 is: 4,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.84 : 8,741.16 = 3,539.16 : x
  2. Step 2: Convert to fraction form
    6,333.84/8,741.16 = 3,539.16/x
  3. Step 3: Cross multiply
    6,333.84x = 8,741.16 × 3,539.16
  4. Step 4: Simplify right side
    6,333.84x = 30,936,363.83
  5. Step 5: Solve for x
    x = 30,936,363.83/6,333.84
  6. Step 6: Final answer
    x = 4,884.30

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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.