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Finding the Fourth Proportional to 4,994.25, 6,892.32 and 3,005.43

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Solution

The fourth proportional to 4,994.25, 6,892.32 and 3,005.43 is: 4,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.25 : 6,892.32 = 3,005.43 : x
  2. Step 2: Convert to fraction form
    4,994.25/6,892.32 = 3,005.43/x
  3. Step 3: Cross multiply
    4,994.25x = 6,892.32 × 3,005.43
  4. Step 4: Simplify right side
    4,994.25x = 20,714,385.30
  5. Step 5: Solve for x
    x = 20,714,385.30/4,994.25
  6. Step 6: Final answer
    x = 4,147.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.