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Finding the Fourth Proportional to 3,838, 5,296.50 and 2,442.64

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Solution

The fourth proportional to 3,838, 5,296.50 and 2,442.64 is: 3,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838 : 5,296.50 = 2,442.64 : x
  2. Step 2: Convert to fraction form
    3,838/5,296.50 = 2,442.64/x
  3. Step 3: Cross multiply
    3,838x = 5,296.50 × 2,442.64
  4. Step 4: Simplify right side
    3,838x = 12,937,442.76
  5. Step 5: Solve for x
    x = 12,937,442.76/3,838
  6. Step 6: Final answer
    x = 3,370.88

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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.