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Finding the Fourth Proportional to 3,960.42, 5,942.06 and 1,853.89

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Solution

The fourth proportional to 3,960.42, 5,942.06 and 1,853.89 is: 2,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.42 : 5,942.06 = 1,853.89 : x
  2. Step 2: Convert to fraction form
    3,960.42/5,942.06 = 1,853.89/x
  3. Step 3: Cross multiply
    3,960.42x = 5,942.06 × 1,853.89
  4. Step 4: Simplify right side
    3,960.42x = 11,015,925.61
  5. Step 5: Solve for x
    x = 11,015,925.61/3,960.42
  6. Step 6: Final answer
    x = 2,781.50

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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.