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Finding the Fourth Proportional to 5,972.32, 8,954.88 and 3,505.96

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Solution

The fourth proportional to 5,972.32, 8,954.88 and 3,505.96 is: 5,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.32 : 8,954.88 = 3,505.96 : x
  2. Step 2: Convert to fraction form
    5,972.32/8,954.88 = 3,505.96/x
  3. Step 3: Cross multiply
    5,972.32x = 8,954.88 × 3,505.96
  4. Step 4: Simplify right side
    5,972.32x = 31,395,451.08
  5. Step 5: Solve for x
    x = 31,395,451.08/5,972.32
  6. Step 6: Final answer
    x = 5,256.83

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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.