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Finding the Fourth Proportional to 3,158.86, 4,355.99 and 2,096.25

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Solution

The fourth proportional to 3,158.86, 4,355.99 and 2,096.25 is: 2,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.86 : 4,355.99 = 2,096.25 : x
  2. Step 2: Convert to fraction form
    3,158.86/4,355.99 = 2,096.25/x
  3. Step 3: Cross multiply
    3,158.86x = 4,355.99 × 2,096.25
  4. Step 4: Simplify right side
    3,158.86x = 9,131,222.26
  5. Step 5: Solve for x
    x = 9,131,222.26/3,158.86
  6. Step 6: Final answer
    x = 2,890.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.