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Finding the Fourth Proportional to 4,168.71, 6,255.81 and 1,571.67

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Solution

The fourth proportional to 4,168.71, 6,255.81 and 1,571.67 is: 2,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.71 : 6,255.81 = 1,571.67 : x
  2. Step 2: Convert to fraction form
    4,168.71/6,255.81 = 1,571.67/x
  3. Step 3: Cross multiply
    4,168.71x = 6,255.81 × 1,571.67
  4. Step 4: Simplify right side
    4,168.71x = 9,832,068.90
  5. Step 5: Solve for x
    x = 9,832,068.90/4,168.71
  6. Step 6: Final answer
    x = 2,358.54

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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.