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Finding the Fourth Proportional to 3,782.96, 5,668.04 and 2,319.06

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Solution

The fourth proportional to 3,782.96, 5,668.04 and 2,319.06 is: 3,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.96 : 5,668.04 = 2,319.06 : x
  2. Step 2: Convert to fraction form
    3,782.96/5,668.04 = 2,319.06/x
  3. Step 3: Cross multiply
    3,782.96x = 5,668.04 × 2,319.06
  4. Step 4: Simplify right side
    3,782.96x = 13,144,524.84
  5. Step 5: Solve for x
    x = 13,144,524.84/3,782.96
  6. Step 6: Final answer
    x = 3,474.67

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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.