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Finding the Fourth Proportional to 3,904.80, 5,857.20 and 1,956.30

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Solution

The fourth proportional to 3,904.80, 5,857.20 and 1,956.30 is: 2,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.80 : 5,857.20 = 1,956.30 : x
  2. Step 2: Convert to fraction form
    3,904.80/5,857.20 = 1,956.30/x
  3. Step 3: Cross multiply
    3,904.80x = 5,857.20 × 1,956.30
  4. Step 4: Simplify right side
    3,904.80x = 11,458,440.36
  5. Step 5: Solve for x
    x = 11,458,440.36/3,904.80
  6. Step 6: Final answer
    x = 2,934.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.