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Finding the Fourth Proportional to 5,956.70, 8,932.37 and 3,182.72

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Solution

The fourth proportional to 5,956.70, 8,932.37 and 3,182.72 is: 4,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.70 : 8,932.37 = 3,182.72 : x
  2. Step 2: Convert to fraction form
    5,956.70/8,932.37 = 3,182.72/x
  3. Step 3: Cross multiply
    5,956.70x = 8,932.37 × 3,182.72
  4. Step 4: Simplify right side
    5,956.70x = 28,429,172.07
  5. Step 5: Solve for x
    x = 28,429,172.07/5,956.70
  6. Step 6: Final answer
    x = 4,772.64

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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.