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Finding the Fourth Proportional to 4,427.92, 6,633.24 and 1,956.88

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Solution

The fourth proportional to 4,427.92, 6,633.24 and 1,956.88 is: 2,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.92 : 6,633.24 = 1,956.88 : x
  2. Step 2: Convert to fraction form
    4,427.92/6,633.24 = 1,956.88/x
  3. Step 3: Cross multiply
    4,427.92x = 6,633.24 × 1,956.88
  4. Step 4: Simplify right side
    4,427.92x = 12,980,454.69
  5. Step 5: Solve for x
    x = 12,980,454.69/4,427.92
  6. Step 6: Final answer
    x = 2,931.50

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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.