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Finding the Fourth Proportional to 5,114.80, 7,672.34 and 1,994.68

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Solution

The fourth proportional to 5,114.80, 7,672.34 and 1,994.68 is: 2,992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.80 : 7,672.34 = 1,994.68 : x
  2. Step 2: Convert to fraction form
    5,114.80/7,672.34 = 1,994.68/x
  3. Step 3: Cross multiply
    5,114.80x = 7,672.34 × 1,994.68
  4. Step 4: Simplify right side
    5,114.80x = 15,303,863.15
  5. Step 5: Solve for x
    x = 15,303,863.15/5,114.80
  6. Step 6: Final answer
    x = 2,992.07

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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.