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Finding the Fourth Proportional to 5,614.66, 7,748.04 and 3,096.82

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Solution

The fourth proportional to 5,614.66, 7,748.04 and 3,096.82 is: 4,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.66 : 7,748.04 = 3,096.82 : x
  2. Step 2: Convert to fraction form
    5,614.66/7,748.04 = 3,096.82/x
  3. Step 3: Cross multiply
    5,614.66x = 7,748.04 × 3,096.82
  4. Step 4: Simplify right side
    5,614.66x = 23,994,285.23
  5. Step 5: Solve for x
    x = 23,994,285.23/5,614.66
  6. Step 6: Final answer
    x = 4,273.51

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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.