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Finding the Fourth Proportional to 6,254.82, 9,382.25 and 2,557.05

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Solution

The fourth proportional to 6,254.82, 9,382.25 and 2,557.05 is: 3,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.82 : 9,382.25 = 2,557.05 : x
  2. Step 2: Convert to fraction form
    6,254.82/9,382.25 = 2,557.05/x
  3. Step 3: Cross multiply
    6,254.82x = 9,382.25 × 2,557.05
  4. Step 4: Simplify right side
    6,254.82x = 23,990,882.36
  5. Step 5: Solve for x
    x = 23,990,882.36/6,254.82
  6. Step 6: Final answer
    x = 3,835.58

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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.