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Finding the Fourth Proportional to 4,639.50, 6,958.80 and 1,717.80

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Solution

The fourth proportional to 4,639.50, 6,958.80 and 1,717.80 is: 2,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.50 : 6,958.80 = 1,717.80 : x
  2. Step 2: Convert to fraction form
    4,639.50/6,958.80 = 1,717.80/x
  3. Step 3: Cross multiply
    4,639.50x = 6,958.80 × 1,717.80
  4. Step 4: Simplify right side
    4,639.50x = 11,953,826.64
  5. Step 5: Solve for x
    x = 11,953,826.64/4,639.50
  6. Step 6: Final answer
    x = 2,576.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.