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Finding the Fourth Proportional to 6,735.58, 10,084.74 and 3,441.58

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Solution

The fourth proportional to 6,735.58, 10,084.74 and 3,441.58 is: 5,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.58 : 10,084.74 = 3,441.58 : x
  2. Step 2: Convert to fraction form
    6,735.58/10,084.74 = 3,441.58/x
  3. Step 3: Cross multiply
    6,735.58x = 10,084.74 × 3,441.58
  4. Step 4: Simplify right side
    6,735.58x = 34,707,439.49
  5. Step 5: Solve for x
    x = 34,707,439.49/6,735.58
  6. Step 6: Final answer
    x = 5,152.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.