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Finding the Fourth Proportional to 5,297.87, 7,945.16 and 1,834.31

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Solution

The fourth proportional to 5,297.87, 7,945.16 and 1,834.31 is: 2,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.87 : 7,945.16 = 1,834.31 : x
  2. Step 2: Convert to fraction form
    5,297.87/7,945.16 = 1,834.31/x
  3. Step 3: Cross multiply
    5,297.87x = 7,945.16 × 1,834.31
  4. Step 4: Simplify right side
    5,297.87x = 14,573,897.13
  5. Step 5: Solve for x
    x = 14,573,897.13/5,297.87
  6. Step 6: Final answer
    x = 2,750.90

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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.