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Finding the Fourth Proportional to 3,784.29, 5,676.47 and 1,319.11

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Solution

The fourth proportional to 3,784.29, 5,676.47 and 1,319.11 is: 1,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.29 : 5,676.47 = 1,319.11 : x
  2. Step 2: Convert to fraction form
    3,784.29/5,676.47 = 1,319.11/x
  3. Step 3: Cross multiply
    3,784.29x = 5,676.47 × 1,319.11
  4. Step 4: Simplify right side
    3,784.29x = 7,487,865.41
  5. Step 5: Solve for x
    x = 7,487,865.41/3,784.29
  6. Step 6: Final answer
    x = 1,978.67

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