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Finding the Fourth Proportional to 5,228.75, 7,215.68 and 2,838.68

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Solution

The fourth proportional to 5,228.75, 7,215.68 and 2,838.68 is: 3,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.75 : 7,215.68 = 2,838.68 : x
  2. Step 2: Convert to fraction form
    5,228.75/7,215.68 = 2,838.68/x
  3. Step 3: Cross multiply
    5,228.75x = 7,215.68 × 2,838.68
  4. Step 4: Simplify right side
    5,228.75x = 20,483,004.58
  5. Step 5: Solve for x
    x = 20,483,004.58/5,228.75
  6. Step 6: Final answer
    x = 3,917.38

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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.