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Finding the Fourth Proportional to 5,823.14, 8,735.17 and 1,927.55

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Solution

The fourth proportional to 5,823.14, 8,735.17 and 1,927.55 is: 2,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.14 : 8,735.17 = 1,927.55 : x
  2. Step 2: Convert to fraction form
    5,823.14/8,735.17 = 1,927.55/x
  3. Step 3: Cross multiply
    5,823.14x = 8,735.17 × 1,927.55
  4. Step 4: Simplify right side
    5,823.14x = 16,837,443.01
  5. Step 5: Solve for x
    x = 16,837,443.01/5,823.14
  6. Step 6: Final answer
    x = 2,891.47

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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.