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Finding the Fourth Proportional to 5,186.31, 7,157.09 and 2,828.45

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Solution

The fourth proportional to 5,186.31, 7,157.09 and 2,828.45 is: 3,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.31 : 7,157.09 = 2,828.45 : x
  2. Step 2: Convert to fraction form
    5,186.31/7,157.09 = 2,828.45/x
  3. Step 3: Cross multiply
    5,186.31x = 7,157.09 × 2,828.45
  4. Step 4: Simplify right side
    5,186.31x = 20,243,421.28
  5. Step 5: Solve for x
    x = 20,243,421.28/5,186.31
  6. Step 6: Final answer
    x = 3,903.24

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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.