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Finding the Fourth Proportional to 4,205.32, 5,797.27 and 2,942.46

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Solution

The fourth proportional to 4,205.32, 5,797.27 and 2,942.46 is: 4,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.32 : 5,797.27 = 2,942.46 : x
  2. Step 2: Convert to fraction form
    4,205.32/5,797.27 = 2,942.46/x
  3. Step 3: Cross multiply
    4,205.32x = 5,797.27 × 2,942.46
  4. Step 4: Simplify right side
    4,205.32x = 17,058,220.37
  5. Step 5: Solve for x
    x = 17,058,220.37/4,205.32
  6. Step 6: Final answer
    x = 4,056.35

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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.