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Finding the Fourth Proportional to 3,964.55, 5,946.21 and 1,366.88

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Solution

The fourth proportional to 3,964.55, 5,946.21 and 1,366.88 is: 2,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.55 : 5,946.21 = 1,366.88 : x
  2. Step 2: Convert to fraction form
    3,964.55/5,946.21 = 1,366.88/x
  3. Step 3: Cross multiply
    3,964.55x = 5,946.21 × 1,366.88
  4. Step 4: Simplify right side
    3,964.55x = 8,127,725.79
  5. Step 5: Solve for x
    x = 8,127,725.79/3,964.55
  6. Step 6: Final answer
    x = 2,050.10

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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.