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Finding the Fourth Proportional to 3,814.30, 5,725.06 and 1,966.70

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Solution

The fourth proportional to 3,814.30, 5,725.06 and 1,966.70 is: 2,951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.30 : 5,725.06 = 1,966.70 : x
  2. Step 2: Convert to fraction form
    3,814.30/5,725.06 = 1,966.70/x
  3. Step 3: Cross multiply
    3,814.30x = 5,725.06 × 1,966.70
  4. Step 4: Simplify right side
    3,814.30x = 11,259,475.50
  5. Step 5: Solve for x
    x = 11,259,475.50/3,814.30
  6. Step 6: Final answer
    x = 2,951.91

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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.