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Finding the Fourth Proportional to 3,964.47, 5,946.78 and 1,500.45

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Solution

The fourth proportional to 3,964.47, 5,946.78 and 1,500.45 is: 2,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.47 : 5,946.78 = 1,500.45 : x
  2. Step 2: Convert to fraction form
    3,964.47/5,946.78 = 1,500.45/x
  3. Step 3: Cross multiply
    3,964.47x = 5,946.78 × 1,500.45
  4. Step 4: Simplify right side
    3,964.47x = 8,922,846.05
  5. Step 5: Solve for x
    x = 8,922,846.05/3,964.47
  6. Step 6: Final answer
    x = 2,250.70

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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.