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Finding the Fourth Proportional to 4,705.72, 7,059.77 and 3,321.76

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Solution

The fourth proportional to 4,705.72, 7,059.77 and 3,321.76 is: 4,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.72 : 7,059.77 = 3,321.76 : x
  2. Step 2: Convert to fraction form
    4,705.72/7,059.77 = 3,321.76/x
  3. Step 3: Cross multiply
    4,705.72x = 7,059.77 × 3,321.76
  4. Step 4: Simplify right side
    4,705.72x = 23,450,861.60
  5. Step 5: Solve for x
    x = 23,450,861.60/4,705.72
  6. Step 6: Final answer
    x = 4,983.48

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1.5x scale

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.