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Finding the Fourth Proportional to 5,243.90, 7,863.97 and 1,733.25

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Solution

The fourth proportional to 5,243.90, 7,863.97 and 1,733.25 is: 2,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.90 : 7,863.97 = 1,733.25 : x
  2. Step 2: Convert to fraction form
    5,243.90/7,863.97 = 1,733.25/x
  3. Step 3: Cross multiply
    5,243.90x = 7,863.97 × 1,733.25
  4. Step 4: Simplify right side
    5,243.90x = 13,630,254.41
  5. Step 5: Solve for x
    x = 13,630,254.41/5,243.90
  6. Step 6: Final answer
    x = 2,599.26

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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.