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Finding the Fourth Proportional to 5,734.27, 8,602.20 and 2,035.62

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Solution

The fourth proportional to 5,734.27, 8,602.20 and 2,035.62 is: 3,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.27 : 8,602.20 = 2,035.62 : x
  2. Step 2: Convert to fraction form
    5,734.27/8,602.20 = 2,035.62/x
  3. Step 3: Cross multiply
    5,734.27x = 8,602.20 × 2,035.62
  4. Step 4: Simplify right side
    5,734.27x = 17,510,800.19
  5. Step 5: Solve for x
    x = 17,510,800.19/5,734.27
  6. Step 6: Final answer
    x = 3,053.71

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Why These Related Problems?

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