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Finding the Fourth Proportional to 5,403, 8,062.71 and 4,819.80

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Solution

The fourth proportional to 5,403, 8,062.71 and 4,819.80 is: 7,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403 : 8,062.71 = 4,819.80 : x
  2. Step 2: Convert to fraction form
    5,403/8,062.71 = 4,819.80/x
  3. Step 3: Cross multiply
    5,403x = 8,062.71 × 4,819.80
  4. Step 4: Simplify right side
    5,403x = 38,860,649.66
  5. Step 5: Solve for x
    x = 38,860,649.66/5,403
  6. Step 6: Final answer
    x = 7,192.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.