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Finding the Fourth Proportional to 5,114.44, 7,670.58 and 1,994.32

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Solution

The fourth proportional to 5,114.44, 7,670.58 and 1,994.32 is: 2,991.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.44 : 7,670.58 = 1,994.32 : x
  2. Step 2: Convert to fraction form
    5,114.44/7,670.58 = 1,994.32/x
  3. Step 3: Cross multiply
    5,114.44x = 7,670.58 × 1,994.32
  4. Step 4: Simplify right side
    5,114.44x = 15,297,591.11
  5. Step 5: Solve for x
    x = 15,297,591.11/5,114.44
  6. Step 6: Final answer
    x = 2,991.06

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