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Finding the Fourth Proportional to 3,781.84, 5,215.38 and 2,997.76

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Solution

The fourth proportional to 3,781.84, 5,215.38 and 2,997.76 is: 4,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.84 : 5,215.38 = 2,997.76 : x
  2. Step 2: Convert to fraction form
    3,781.84/5,215.38 = 2,997.76/x
  3. Step 3: Cross multiply
    3,781.84x = 5,215.38 × 2,997.76
  4. Step 4: Simplify right side
    3,781.84x = 15,634,457.55
  5. Step 5: Solve for x
    x = 15,634,457.55/3,781.84
  6. Step 6: Final answer
    x = 4,134.09

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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.