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Finding the Fourth Proportional to 3,954.24, 5,917.64 and 2,393.30

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Solution

The fourth proportional to 3,954.24, 5,917.64 and 2,393.30 is: 3,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.24 : 5,917.64 = 2,393.30 : x
  2. Step 2: Convert to fraction form
    3,954.24/5,917.64 = 2,393.30/x
  3. Step 3: Cross multiply
    3,954.24x = 5,917.64 × 2,393.30
  4. Step 4: Simplify right side
    3,954.24x = 14,162,687.81
  5. Step 5: Solve for x
    x = 14,162,687.81/3,954.24
  6. Step 6: Final answer
    x = 3,581.65

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Why These Related Problems?

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