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Finding the Fourth Proportional to 4,738.95, 6,548.49 and 3,617.91

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Solution

The fourth proportional to 4,738.95, 6,548.49 and 3,617.91 is: 4,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.95 : 6,548.49 = 3,617.91 : x
  2. Step 2: Convert to fraction form
    4,738.95/6,548.49 = 3,617.91/x
  3. Step 3: Cross multiply
    4,738.95x = 6,548.49 × 3,617.91
  4. Step 4: Simplify right side
    4,738.95x = 23,691,847.46
  5. Step 5: Solve for x
    x = 23,691,847.46/4,738.95
  6. Step 6: Final answer
    x = 4,999.39

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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.