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Finding the Fourth Proportional to 5,121.56, 7,684.19 and 1,790.30

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Solution

The fourth proportional to 5,121.56, 7,684.19 and 1,790.30 is: 2,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.56 : 7,684.19 = 1,790.30 : x
  2. Step 2: Convert to fraction form
    5,121.56/7,684.19 = 1,790.30/x
  3. Step 3: Cross multiply
    5,121.56x = 7,684.19 × 1,790.30
  4. Step 4: Simplify right side
    5,121.56x = 13,757,005.36
  5. Step 5: Solve for x
    x = 13,757,005.36/5,121.56
  6. Step 6: Final answer
    x = 2,686.10

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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.