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Finding the Fourth Proportional to 5,186.26, 7,157.03 and 2,828.42

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Solution

The fourth proportional to 5,186.26, 7,157.03 and 2,828.42 is: 3,903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.26 : 7,157.03 = 2,828.42 : x
  2. Step 2: Convert to fraction form
    5,186.26/7,157.03 = 2,828.42/x
  3. Step 3: Cross multiply
    5,186.26x = 7,157.03 × 2,828.42
  4. Step 4: Simplify right side
    5,186.26x = 20,243,036.87
  5. Step 5: Solve for x
    x = 20,243,036.87/5,186.26
  6. Step 6: Final answer
    x = 3,903.21

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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.