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Finding the Fourth Proportional to 5,297.43, 7,941.27 and 1,832.25

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Solution

The fourth proportional to 5,297.43, 7,941.27 and 1,832.25 is: 2,746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.43 : 7,941.27 = 1,832.25 : x
  2. Step 2: Convert to fraction form
    5,297.43/7,941.27 = 1,832.25/x
  3. Step 3: Cross multiply
    5,297.43x = 7,941.27 × 1,832.25
  4. Step 4: Simplify right side
    5,297.43x = 14,550,391.96
  5. Step 5: Solve for x
    x = 14,550,391.96/5,297.43
  6. Step 6: Final answer
    x = 2,746.69

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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.