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Finding the Fourth Proportional to 3,778.86, 5,668.38 and 1,313.76

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Solution

The fourth proportional to 3,778.86, 5,668.38 and 1,313.76 is: 1,970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.86 : 5,668.38 = 1,313.76 : x
  2. Step 2: Convert to fraction form
    3,778.86/5,668.38 = 1,313.76/x
  3. Step 3: Cross multiply
    3,778.86x = 5,668.38 × 1,313.76
  4. Step 4: Simplify right side
    3,778.86x = 7,446,890.91
  5. Step 5: Solve for x
    x = 7,446,890.91/3,778.86
  6. Step 6: Final answer
    x = 1,970.67

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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.