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Finding the Fourth Proportional to 3,813.81, 5,289.99 and 3,712.65

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Solution

The fourth proportional to 3,813.81, 5,289.99 and 3,712.65 is: 5,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.81 : 5,289.99 = 3,712.65 : x
  2. Step 2: Convert to fraction form
    3,813.81/5,289.99 = 3,712.65/x
  3. Step 3: Cross multiply
    3,813.81x = 5,289.99 × 3,712.65
  4. Step 4: Simplify right side
    3,813.81x = 19,639,881.37
  5. Step 5: Solve for x
    x = 19,639,881.37/3,813.81
  6. Step 6: Final answer
    x = 5,149.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.