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Finding the Fourth Proportional to 3,780.91, 5,215.17 and 2,289.28

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Solution

The fourth proportional to 3,780.91, 5,215.17 and 2,289.28 is: 3,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.91 : 5,215.17 = 2,289.28 : x
  2. Step 2: Convert to fraction form
    3,780.91/5,215.17 = 2,289.28/x
  3. Step 3: Cross multiply
    3,780.91x = 5,215.17 × 2,289.28
  4. Step 4: Simplify right side
    3,780.91x = 11,938,984.38
  5. Step 5: Solve for x
    x = 11,938,984.38/3,780.91
  6. Step 6: Final answer
    x = 3,157.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.