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Finding the Fourth Proportional to 4,383.34, 6,576.77 and 1,785.67

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Solution

The fourth proportional to 4,383.34, 6,576.77 and 1,785.67 is: 2,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383.34 : 6,576.77 = 1,785.67 : x
  2. Step 2: Convert to fraction form
    4,383.34/6,576.77 = 1,785.67/x
  3. Step 3: Cross multiply
    4,383.34x = 6,576.77 × 1,785.67
  4. Step 4: Simplify right side
    4,383.34x = 11,743,940.89
  5. Step 5: Solve for x
    x = 11,743,940.89/4,383.34
  6. Step 6: Final answer
    x = 2,679.22

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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.