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Finding the Fourth Proportional to 5,240.59, 7,231.22 and 2,971.80

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Solution

The fourth proportional to 5,240.59, 7,231.22 and 2,971.80 is: 4,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.59 : 7,231.22 = 2,971.80 : x
  2. Step 2: Convert to fraction form
    5,240.59/7,231.22 = 2,971.80/x
  3. Step 3: Cross multiply
    5,240.59x = 7,231.22 × 2,971.80
  4. Step 4: Simplify right side
    5,240.59x = 21,489,724.74
  5. Step 5: Solve for x
    x = 21,489,724.74/5,240.59
  6. Step 6: Final answer
    x = 4,100.63

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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.