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Finding the Fourth Proportional to 3,415.80, 4,712.13 and 2,942.88

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Solution

The fourth proportional to 3,415.80, 4,712.13 and 2,942.88 is: 4,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.80 : 4,712.13 = 2,942.88 : x
  2. Step 2: Convert to fraction form
    3,415.80/4,712.13 = 2,942.88/x
  3. Step 3: Cross multiply
    3,415.80x = 4,712.13 × 2,942.88
  4. Step 4: Simplify right side
    3,415.80x = 13,867,224.37
  5. Step 5: Solve for x
    x = 13,867,224.37/3,415.80
  6. Step 6: Final answer
    x = 4,059.73

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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.