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Finding the Fourth Proportional to 3,982.16, 5,495.64 and 2,738

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Solution

The fourth proportional to 3,982.16, 5,495.64 and 2,738 is: 3,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.16 : 5,495.64 = 2,738 : x
  2. Step 2: Convert to fraction form
    3,982.16/5,495.64 = 2,738/x
  3. Step 3: Cross multiply
    3,982.16x = 5,495.64 × 2,738
  4. Step 4: Simplify right side
    3,982.16x = 15,047,062.32
  5. Step 5: Solve for x
    x = 15,047,062.32/3,982.16
  6. Step 6: Final answer
    x = 3,778.62

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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.