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Finding the Fourth Proportional to 4,836.98, 7,255.91 and 1,874.48

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Solution

The fourth proportional to 4,836.98, 7,255.91 and 1,874.48 is: 2,811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836.98 : 7,255.91 = 1,874.48 : x
  2. Step 2: Convert to fraction form
    4,836.98/7,255.91 = 1,874.48/x
  3. Step 3: Cross multiply
    4,836.98x = 7,255.91 × 1,874.48
  4. Step 4: Simplify right side
    4,836.98x = 13,601,026.58
  5. Step 5: Solve for x
    x = 13,601,026.58/4,836.98
  6. Step 6: Final answer
    x = 2,811.88

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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.