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Finding the Fourth Proportional to 4,857.71, 7,284.78 and 1,736.87

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Solution

The fourth proportional to 4,857.71, 7,284.78 and 1,736.87 is: 2,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.71 : 7,284.78 = 1,736.87 : x
  2. Step 2: Convert to fraction form
    4,857.71/7,284.78 = 1,736.87/x
  3. Step 3: Cross multiply
    4,857.71x = 7,284.78 × 1,736.87
  4. Step 4: Simplify right side
    4,857.71x = 12,652,734.05
  5. Step 5: Solve for x
    x = 12,652,734.05/4,857.71
  6. Step 6: Final answer
    x = 2,604.67

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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.