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Finding the Fourth Proportional to 4,474.01, 6,710.89 and 2,135.66

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Solution

The fourth proportional to 4,474.01, 6,710.89 and 2,135.66 is: 3,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.01 : 6,710.89 = 2,135.66 : x
  2. Step 2: Convert to fraction form
    4,474.01/6,710.89 = 2,135.66/x
  3. Step 3: Cross multiply
    4,474.01x = 6,710.89 × 2,135.66
  4. Step 4: Simplify right side
    4,474.01x = 14,332,179.34
  5. Step 5: Solve for x
    x = 14,332,179.34/4,474.01
  6. Step 6: Final answer
    x = 3,203.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.