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Finding the Fourth Proportional to 6,264.66, 8,645.36 and 3,874.98

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Solution

The fourth proportional to 6,264.66, 8,645.36 and 3,874.98 is: 5,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.66 : 8,645.36 = 3,874.98 : x
  2. Step 2: Convert to fraction form
    6,264.66/8,645.36 = 3,874.98/x
  3. Step 3: Cross multiply
    6,264.66x = 8,645.36 × 3,874.98
  4. Step 4: Simplify right side
    6,264.66x = 33,500,597.09
  5. Step 5: Solve for x
    x = 33,500,597.09/6,264.66
  6. Step 6: Final answer
    x = 5,347.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.