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Finding the Fourth Proportional to 3,794.04, 5,238 and 2,398.68

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Solution

The fourth proportional to 3,794.04, 5,238 and 2,398.68 is: 3,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.04 : 5,238 = 2,398.68 : x
  2. Step 2: Convert to fraction form
    3,794.04/5,238 = 2,398.68/x
  3. Step 3: Cross multiply
    3,794.04x = 5,238 × 2,398.68
  4. Step 4: Simplify right side
    3,794.04x = 12,564,285.84
  5. Step 5: Solve for x
    x = 12,564,285.84/3,794.04
  6. Step 6: Final answer
    x = 3,311.58

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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.