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Finding the Fourth Proportional to 6,333.75, 8,740.71 and 3,539.25

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Solution

The fourth proportional to 6,333.75, 8,740.71 and 3,539.25 is: 4,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.75 : 8,740.71 = 3,539.25 : x
  2. Step 2: Convert to fraction form
    6,333.75/8,740.71 = 3,539.25/x
  3. Step 3: Cross multiply
    6,333.75x = 8,740.71 × 3,539.25
  4. Step 4: Simplify right side
    6,333.75x = 30,935,557.87
  5. Step 5: Solve for x
    x = 30,935,557.87/6,333.75
  6. Step 6: Final answer
    x = 4,884.24

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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.