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Finding the Fourth Proportional to 4,200.92, 6,302.61 and 1,735.88

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Solution

The fourth proportional to 4,200.92, 6,302.61 and 1,735.88 is: 2,604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.92 : 6,302.61 = 1,735.88 : x
  2. Step 2: Convert to fraction form
    4,200.92/6,302.61 = 1,735.88/x
  3. Step 3: Cross multiply
    4,200.92x = 6,302.61 × 1,735.88
  4. Step 4: Simplify right side
    4,200.92x = 10,940,574.65
  5. Step 5: Solve for x
    x = 10,940,574.65/4,200.92
  6. Step 6: Final answer
    x = 2,604.33

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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.