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Finding the Fourth Proportional to 3,874.26, 5,347.65 and 2,632.98

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Solution

The fourth proportional to 3,874.26, 5,347.65 and 2,632.98 is: 3,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.26 : 5,347.65 = 2,632.98 : x
  2. Step 2: Convert to fraction form
    3,874.26/5,347.65 = 2,632.98/x
  3. Step 3: Cross multiply
    3,874.26x = 5,347.65 × 2,632.98
  4. Step 4: Simplify right side
    3,874.26x = 14,080,255.50
  5. Step 5: Solve for x
    x = 14,080,255.50/3,874.26
  6. Step 6: Final answer
    x = 3,634.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.