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Finding the Fourth Proportional to 5,140.96, 7,094.09 and 3,016.27

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Solution

The fourth proportional to 5,140.96, 7,094.09 and 3,016.27 is: 4,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.96 : 7,094.09 = 3,016.27 : x
  2. Step 2: Convert to fraction form
    5,140.96/7,094.09 = 3,016.27/x
  3. Step 3: Cross multiply
    5,140.96x = 7,094.09 × 3,016.27
  4. Step 4: Simplify right side
    5,140.96x = 21,397,690.84
  5. Step 5: Solve for x
    x = 21,397,690.84/5,140.96
  6. Step 6: Final answer
    x = 4,162.20

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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.