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Finding the Fourth Proportional to 3,961.47, 5,942.28 and 1,497.45

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Solution

The fourth proportional to 3,961.47, 5,942.28 and 1,497.45 is: 2,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.47 : 5,942.28 = 1,497.45 : x
  2. Step 2: Convert to fraction form
    3,961.47/5,942.28 = 1,497.45/x
  3. Step 3: Cross multiply
    3,961.47x = 5,942.28 × 1,497.45
  4. Step 4: Simplify right side
    3,961.47x = 8,898,267.19
  5. Step 5: Solve for x
    x = 8,898,267.19/3,961.47
  6. Step 6: Final answer
    x = 2,246.20

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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.