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Finding the Fourth Proportional to 4,601.36, 6,351 and 2,738

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Solution

The fourth proportional to 4,601.36, 6,351 and 2,738 is: 3,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.36 : 6,351 = 2,738 : x
  2. Step 2: Convert to fraction form
    4,601.36/6,351 = 2,738/x
  3. Step 3: Cross multiply
    4,601.36x = 6,351 × 2,738
  4. Step 4: Simplify right side
    4,601.36x = 17,389,038
  5. Step 5: Solve for x
    x = 17,389,038/4,601.36
  6. Step 6: Final answer
    x = 3,779.11

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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.