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Finding the Fourth Proportional to 3,844, 5,305.08 and 2,188

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Solution

The fourth proportional to 3,844, 5,305.08 and 2,188 is: 3,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844 : 5,305.08 = 2,188 : x
  2. Step 2: Convert to fraction form
    3,844/5,305.08 = 2,188/x
  3. Step 3: Cross multiply
    3,844x = 5,305.08 × 2,188
  4. Step 4: Simplify right side
    3,844x = 11,607,515.04
  5. Step 5: Solve for x
    x = 11,607,515.04/3,844
  6. Step 6: Final answer
    x = 3,019.64

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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.