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Finding the Fourth Proportional to 3,261.16, 4,891.74 and 795.98

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Solution

The fourth proportional to 3,261.16, 4,891.74 and 795.98 is: 1,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.16 : 4,891.74 = 795.98 : x
  2. Step 2: Convert to fraction form
    3,261.16/4,891.74 = 795.98/x
  3. Step 3: Cross multiply
    3,261.16x = 4,891.74 × 795.98
  4. Step 4: Simplify right side
    3,261.16x = 3,893,713.41
  5. Step 5: Solve for x
    x = 3,893,713.41/3,261.16
  6. Step 6: Final answer
    x = 1,193.97

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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.