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Finding the Fourth Proportional to 5,256.68, 7,882.74 and 2,790.96

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Solution

The fourth proportional to 5,256.68, 7,882.74 and 2,790.96 is: 4,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.68 : 7,882.74 = 2,790.96 : x
  2. Step 2: Convert to fraction form
    5,256.68/7,882.74 = 2,790.96/x
  3. Step 3: Cross multiply
    5,256.68x = 7,882.74 × 2,790.96
  4. Step 4: Simplify right side
    5,256.68x = 22,000,412.03
  5. Step 5: Solve for x
    x = 22,000,412.03/5,256.68
  6. Step 6: Final answer
    x = 4,185.23

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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.