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Finding the Fourth Proportional to 4,662, 6,993.96 and 1,926

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Solution

The fourth proportional to 4,662, 6,993.96 and 1,926 is: 2,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662 : 6,993.96 = 1,926 : x
  2. Step 2: Convert to fraction form
    4,662/6,993.96 = 1,926/x
  3. Step 3: Cross multiply
    4,662x = 6,993.96 × 1,926
  4. Step 4: Simplify right side
    4,662x = 13,470,366.96
  5. Step 5: Solve for x
    x = 13,470,366.96/4,662
  6. Step 6: Final answer
    x = 2,889.40

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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.