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Finding the Fourth Proportional to 3,834, 5,290.92 and 2,178

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Solution

The fourth proportional to 3,834, 5,290.92 and 2,178 is: 3,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834 : 5,290.92 = 2,178 : x
  2. Step 2: Convert to fraction form
    3,834/5,290.92 = 2,178/x
  3. Step 3: Cross multiply
    3,834x = 5,290.92 × 2,178
  4. Step 4: Simplify right side
    3,834x = 11,523,623.76
  5. Step 5: Solve for x
    x = 11,523,623.76/3,834
  6. Step 6: Final answer
    x = 3,005.64

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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.