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Finding the Fourth Proportional to 5,238.74, 7,229.40 and 2,880.74

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Solution

The fourth proportional to 5,238.74, 7,229.40 and 2,880.74 is: 3,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.74 : 7,229.40 = 2,880.74 : x
  2. Step 2: Convert to fraction form
    5,238.74/7,229.40 = 2,880.74/x
  3. Step 3: Cross multiply
    5,238.74x = 7,229.40 × 2,880.74
  4. Step 4: Simplify right side
    5,238.74x = 20,826,021.76
  5. Step 5: Solve for x
    x = 20,826,021.76/5,238.74
  6. Step 6: Final answer
    x = 3,975.39

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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.