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Finding the Fourth Proportional to 5,273.61, 7,910.34 and 2,152.95

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Solution

The fourth proportional to 5,273.61, 7,910.34 and 2,152.95 is: 3,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.61 : 7,910.34 = 2,152.95 : x
  2. Step 2: Convert to fraction form
    5,273.61/7,910.34 = 2,152.95/x
  3. Step 3: Cross multiply
    5,273.61x = 7,910.34 × 2,152.95
  4. Step 4: Simplify right side
    5,273.61x = 17,030,566.50
  5. Step 5: Solve for x
    x = 17,030,566.50/5,273.61
  6. Step 6: Final answer
    x = 3,229.39

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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.