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Finding the Fourth Proportional to 4,199.92, 6,301.11 and 1,734.88

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Solution

The fourth proportional to 4,199.92, 6,301.11 and 1,734.88 is: 2,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.92 : 6,301.11 = 1,734.88 : x
  2. Step 2: Convert to fraction form
    4,199.92/6,301.11 = 1,734.88/x
  3. Step 3: Cross multiply
    4,199.92x = 6,301.11 × 1,734.88
  4. Step 4: Simplify right side
    4,199.92x = 10,931,669.72
  5. Step 5: Solve for x
    x = 10,931,669.72/4,199.92
  6. Step 6: Final answer
    x = 2,602.83

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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.