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Finding the Fourth Proportional to 5,372, 7,410.84 and 3,800.96

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Solution

The fourth proportional to 5,372, 7,410.84 and 3,800.96 is: 5,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372 : 7,410.84 = 3,800.96 : x
  2. Step 2: Convert to fraction form
    5,372/7,410.84 = 3,800.96/x
  3. Step 3: Cross multiply
    5,372x = 7,410.84 × 3,800.96
  4. Step 4: Simplify right side
    5,372x = 28,168,306.41
  5. Step 5: Solve for x
    x = 28,168,306.41/5,372
  6. Step 6: Final answer
    x = 5,243.54

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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.