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Finding the Fourth Proportional to 3,892.79, 5,844.65 and 1,994.47

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Solution

The fourth proportional to 3,892.79, 5,844.65 and 1,994.47 is: 2,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.79 : 5,844.65 = 1,994.47 : x
  2. Step 2: Convert to fraction form
    3,892.79/5,844.65 = 1,994.47/x
  3. Step 3: Cross multiply
    3,892.79x = 5,844.65 × 1,994.47
  4. Step 4: Simplify right side
    3,892.79x = 11,656,954.50
  5. Step 5: Solve for x
    x = 11,656,954.50/3,892.79
  6. Step 6: Final answer
    x = 2,994.50

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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.