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Finding the Fourth Proportional to 3,474.34, 4,789.73 and 2,941.11

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Solution

The fourth proportional to 3,474.34, 4,789.73 and 2,941.11 is: 4,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.34 : 4,789.73 = 2,941.11 : x
  2. Step 2: Convert to fraction form
    3,474.34/4,789.73 = 2,941.11/x
  3. Step 3: Cross multiply
    3,474.34x = 4,789.73 × 2,941.11
  4. Step 4: Simplify right side
    3,474.34x = 14,087,130.15
  5. Step 5: Solve for x
    x = 14,087,130.15/3,474.34
  6. Step 6: Final answer
    x = 4,054.62

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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.