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Finding the Fourth Proportional to 4,999.32, 7,500.47 and 1,489.32

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Solution

The fourth proportional to 4,999.32, 7,500.47 and 1,489.32 is: 2,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.32 : 7,500.47 = 1,489.32 : x
  2. Step 2: Convert to fraction form
    4,999.32/7,500.47 = 1,489.32/x
  3. Step 3: Cross multiply
    4,999.32x = 7,500.47 × 1,489.32
  4. Step 4: Simplify right side
    4,999.32x = 11,170,592.53
  5. Step 5: Solve for x
    x = 11,170,592.53/4,999.32
  6. Step 6: Final answer
    x = 2,234.42

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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.