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Finding the Fourth Proportional to 5,157.68, 7,112.22 and 3,061.40

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Solution

The fourth proportional to 5,157.68, 7,112.22 and 3,061.40 is: 4,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.68 : 7,112.22 = 3,061.40 : x
  2. Step 2: Convert to fraction form
    5,157.68/7,112.22 = 3,061.40/x
  3. Step 3: Cross multiply
    5,157.68x = 7,112.22 × 3,061.40
  4. Step 4: Simplify right side
    5,157.68x = 21,773,350.31
  5. Step 5: Solve for x
    x = 21,773,350.31/5,157.68
  6. Step 6: Final answer
    x = 4,221.54

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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.