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Finding the Fourth Proportional to 6,544.08, 9,815.04 and 1,926

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Solution

The fourth proportional to 6,544.08, 9,815.04 and 1,926 is: 2,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.08 : 9,815.04 = 1,926 : x
  2. Step 2: Convert to fraction form
    6,544.08/9,815.04 = 1,926/x
  3. Step 3: Cross multiply
    6,544.08x = 9,815.04 × 1,926
  4. Step 4: Simplify right side
    6,544.08x = 18,903,767.04
  5. Step 5: Solve for x
    x = 18,903,767.04/6,544.08
  6. Step 6: Final answer
    x = 2,888.68

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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.