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Finding the Fourth Proportional to 3,954.32, 5,934.40 and 2,004.56

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Solution

The fourth proportional to 3,954.32, 5,934.40 and 2,004.56 is: 3,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.32 : 5,934.40 = 2,004.56 : x
  2. Step 2: Convert to fraction form
    3,954.32/5,934.40 = 2,004.56/x
  3. Step 3: Cross multiply
    3,954.32x = 5,934.40 × 2,004.56
  4. Step 4: Simplify right side
    3,954.32x = 11,895,860.86
  5. Step 5: Solve for x
    x = 11,895,860.86/3,954.32
  6. Step 6: Final answer
    x = 3,008.32

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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.