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Finding the Fourth Proportional to 5,314.38, 7,333.23 and 3,076.98

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Solution

The fourth proportional to 5,314.38, 7,333.23 and 3,076.98 is: 4,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.38 : 7,333.23 = 3,076.98 : x
  2. Step 2: Convert to fraction form
    5,314.38/7,333.23 = 3,076.98/x
  3. Step 3: Cross multiply
    5,314.38x = 7,333.23 × 3,076.98
  4. Step 4: Simplify right side
    5,314.38x = 22,564,202.05
  5. Step 5: Solve for x
    x = 22,564,202.05/5,314.38
  6. Step 6: Final answer
    x = 4,245.88

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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.