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Finding the Fourth Proportional to 3,335.76, 4,997.14 and 2,178

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Solution

The fourth proportional to 3,335.76, 4,997.14 and 2,178 is: 3,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.76 : 4,997.14 = 2,178 : x
  2. Step 2: Convert to fraction form
    3,335.76/4,997.14 = 2,178/x
  3. Step 3: Cross multiply
    3,335.76x = 4,997.14 × 2,178
  4. Step 4: Simplify right side
    3,335.76x = 10,883,770.92
  5. Step 5: Solve for x
    x = 10,883,770.92/3,335.76
  6. Step 6: Final answer
    x = 3,262.76

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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.