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Finding the Fourth Proportional to 5,274.52, 7,910.56 and 3,641.56

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Solution

The fourth proportional to 5,274.52, 7,910.56 and 3,641.56 is: 5,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.52 : 7,910.56 = 3,641.56 : x
  2. Step 2: Convert to fraction form
    5,274.52/7,910.56 = 3,641.56/x
  3. Step 3: Cross multiply
    5,274.52x = 7,910.56 × 3,641.56
  4. Step 4: Simplify right side
    5,274.52x = 28,806,778.87
  5. Step 5: Solve for x
    x = 28,806,778.87/5,274.52
  6. Step 6: Final answer
    x = 5,461.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.