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Finding the Fourth Proportional to 3,875.26, 5,814.33 and 1,796.26

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Solution

The fourth proportional to 3,875.26, 5,814.33 and 1,796.26 is: 2,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.26 : 5,814.33 = 1,796.26 : x
  2. Step 2: Convert to fraction form
    3,875.26/5,814.33 = 1,796.26/x
  3. Step 3: Cross multiply
    3,875.26x = 5,814.33 × 1,796.26
  4. Step 4: Simplify right side
    3,875.26x = 10,444,048.41
  5. Step 5: Solve for x
    x = 10,444,048.41/3,875.26
  6. Step 6: Final answer
    x = 2,695.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.