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Finding the Fourth Proportional to 5,794.98, 8,693.14 and 2,098.95

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Solution

The fourth proportional to 5,794.98, 8,693.14 and 2,098.95 is: 3,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.98 : 8,693.14 = 2,098.95 : x
  2. Step 2: Convert to fraction form
    5,794.98/8,693.14 = 2,098.95/x
  3. Step 3: Cross multiply
    5,794.98x = 8,693.14 × 2,098.95
  4. Step 4: Simplify right side
    5,794.98x = 18,246,460.96
  5. Step 5: Solve for x
    x = 18,246,460.96/5,794.98
  6. Step 6: Final answer
    x = 3,148.67

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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.