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Finding the Fourth Proportional to 5,260.76, 7,257.78 and 3,022.16

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Solution

The fourth proportional to 5,260.76, 7,257.78 and 3,022.16 is: 4,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.76 : 7,257.78 = 3,022.16 : x
  2. Step 2: Convert to fraction form
    5,260.76/7,257.78 = 3,022.16/x
  3. Step 3: Cross multiply
    5,260.76x = 7,257.78 × 3,022.16
  4. Step 4: Simplify right side
    5,260.76x = 21,934,172.40
  5. Step 5: Solve for x
    x = 21,934,172.40/5,260.76
  6. Step 6: Final answer
    x = 4,169.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.