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Finding the Fourth Proportional to 5,113.27, 7,669.14 and 1,994.68

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Solution

The fourth proportional to 5,113.27, 7,669.14 and 1,994.68 is: 2,991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.27 : 7,669.14 = 1,994.68 : x
  2. Step 2: Convert to fraction form
    5,113.27/7,669.14 = 1,994.68/x
  3. Step 3: Cross multiply
    5,113.27x = 7,669.14 × 1,994.68
  4. Step 4: Simplify right side
    5,113.27x = 15,297,480.18
  5. Step 5: Solve for x
    x = 15,297,480.18/5,113.27
  6. Step 6: Final answer
    x = 2,991.72

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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.