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Finding the Fourth Proportional to 5,102.72, 7,635.84 and 3,999.50

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Solution

The fourth proportional to 5,102.72, 7,635.84 and 3,999.50 is: 5,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.72 : 7,635.84 = 3,999.50 : x
  2. Step 2: Convert to fraction form
    5,102.72/7,635.84 = 3,999.50/x
  3. Step 3: Cross multiply
    5,102.72x = 7,635.84 × 3,999.50
  4. Step 4: Simplify right side
    5,102.72x = 30,539,542.08
  5. Step 5: Solve for x
    x = 30,539,542.08/5,102.72
  6. Step 6: Final answer
    x = 5,984.95

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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.