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Finding the Fourth Proportional to 4,205.48, 5,797.49 and 2,942.61

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Solution

The fourth proportional to 4,205.48, 5,797.49 and 2,942.61 is: 4,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.48 : 5,797.49 = 2,942.61 : x
  2. Step 2: Convert to fraction form
    4,205.48/5,797.49 = 2,942.61/x
  3. Step 3: Cross multiply
    4,205.48x = 5,797.49 × 2,942.61
  4. Step 4: Simplify right side
    4,205.48x = 17,059,737.34
  5. Step 5: Solve for x
    x = 17,059,737.34/4,205.48
  6. Step 6: Final answer
    x = 4,056.55

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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.