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Finding the Fourth Proportional to 4,956.40, 6,834.16 and 3,961

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Solution

The fourth proportional to 4,956.40, 6,834.16 and 3,961 is: 5,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.40 : 6,834.16 = 3,961 : x
  2. Step 2: Convert to fraction form
    4,956.40/6,834.16 = 3,961/x
  3. Step 3: Cross multiply
    4,956.40x = 6,834.16 × 3,961
  4. Step 4: Simplify right side
    4,956.40x = 27,070,107.76
  5. Step 5: Solve for x
    x = 27,070,107.76/4,956.40
  6. Step 6: Final answer
    x = 5,461.65

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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.