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Finding the Fourth Proportional to 4,684.92, 7,028 and 1,722.96

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Solution

The fourth proportional to 4,684.92, 7,028 and 1,722.96 is: 2,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.92 : 7,028 = 1,722.96 : x
  2. Step 2: Convert to fraction form
    4,684.92/7,028 = 1,722.96/x
  3. Step 3: Cross multiply
    4,684.92x = 7,028 × 1,722.96
  4. Step 4: Simplify right side
    4,684.92x = 12,108,962.88
  5. Step 5: Solve for x
    x = 12,108,962.88/4,684.92
  6. Step 6: Final answer
    x = 2,584.67

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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.