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Finding the Fourth Proportional to 4,353.78, 6,530.13 and 1,234.02

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Solution

The fourth proportional to 4,353.78, 6,530.13 and 1,234.02 is: 1,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353.78 : 6,530.13 = 1,234.02 : x
  2. Step 2: Convert to fraction form
    4,353.78/6,530.13 = 1,234.02/x
  3. Step 3: Cross multiply
    4,353.78x = 6,530.13 × 1,234.02
  4. Step 4: Simplify right side
    4,353.78x = 8,058,311.02
  5. Step 5: Solve for x
    x = 8,058,311.02/4,353.78
  6. Step 6: Final answer
    x = 1,850.88

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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.