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Finding the Fourth Proportional to 5,825.87, 8,731.38 and 2,538.08

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Solution

The fourth proportional to 5,825.87, 8,731.38 and 2,538.08 is: 3,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.87 : 8,731.38 = 2,538.08 : x
  2. Step 2: Convert to fraction form
    5,825.87/8,731.38 = 2,538.08/x
  3. Step 3: Cross multiply
    5,825.87x = 8,731.38 × 2,538.08
  4. Step 4: Simplify right side
    5,825.87x = 22,160,940.95
  5. Step 5: Solve for x
    x = 22,160,940.95/5,825.87
  6. Step 6: Final answer
    x = 3,803.89

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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.