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Finding the Fourth Proportional to 3,475.34, 4,791.11 and 2,942.11

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Solution

The fourth proportional to 3,475.34, 4,791.11 and 2,942.11 is: 4,056.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.34 : 4,791.11 = 2,942.11 : x
  2. Step 2: Convert to fraction form
    3,475.34/4,791.11 = 2,942.11/x
  3. Step 3: Cross multiply
    3,475.34x = 4,791.11 × 2,942.11
  4. Step 4: Simplify right side
    3,475.34x = 14,095,972.64
  5. Step 5: Solve for x
    x = 14,095,972.64/3,475.34
  6. Step 6: Final answer
    x = 4,056.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.