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Finding the Fourth Proportional to 5,187.36, 7,782.27 and 1,489.50

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Solution

The fourth proportional to 5,187.36, 7,782.27 and 1,489.50 is: 2,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.36 : 7,782.27 = 1,489.50 : x
  2. Step 2: Convert to fraction form
    5,187.36/7,782.27 = 1,489.50/x
  3. Step 3: Cross multiply
    5,187.36x = 7,782.27 × 1,489.50
  4. Step 4: Simplify right side
    5,187.36x = 11,591,691.17
  5. Step 5: Solve for x
    x = 11,591,691.17/5,187.36
  6. Step 6: Final answer
    x = 2,234.60

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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.