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Finding the Fourth Proportional to 5,892.56, 8,833.34 and 1,994.24

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Solution

The fourth proportional to 5,892.56, 8,833.34 and 1,994.24 is: 2,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.56 : 8,833.34 = 1,994.24 : x
  2. Step 2: Convert to fraction form
    5,892.56/8,833.34 = 1,994.24/x
  3. Step 3: Cross multiply
    5,892.56x = 8,833.34 × 1,994.24
  4. Step 4: Simplify right side
    5,892.56x = 17,615,799.96
  5. Step 5: Solve for x
    x = 17,615,799.96/5,892.56
  6. Step 6: Final answer
    x = 2,989.50

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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.