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Finding the Fourth Proportional to 5,243.98, 7,865.31 and 1,495.84

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Solution

The fourth proportional to 5,243.98, 7,865.31 and 1,495.84 is: 2,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.98 : 7,865.31 = 1,495.84 : x
  2. Step 2: Convert to fraction form
    5,243.98/7,865.31 = 1,495.84/x
  3. Step 3: Cross multiply
    5,243.98x = 7,865.31 × 1,495.84
  4. Step 4: Simplify right side
    5,243.98x = 11,765,205.98
  5. Step 5: Solve for x
    x = 11,765,205.98/5,243.98
  6. Step 6: Final answer
    x = 2,243.57

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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.