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Finding the Fourth Proportional to 5,273.86, 7,903.50 and 4,489.78

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Solution

The fourth proportional to 5,273.86, 7,903.50 and 4,489.78 is: 6,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.86 : 7,903.50 = 4,489.78 : x
  2. Step 2: Convert to fraction form
    5,273.86/7,903.50 = 4,489.78/x
  3. Step 3: Cross multiply
    5,273.86x = 7,903.50 × 4,489.78
  4. Step 4: Simplify right side
    5,273.86x = 35,484,976.23
  5. Step 5: Solve for x
    x = 35,484,976.23/5,273.86
  6. Step 6: Final answer
    x = 6,728.46

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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.