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Finding the Fourth Proportional to 5,232.45, 7,849.64 and 1,722.67

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Solution

The fourth proportional to 5,232.45, 7,849.64 and 1,722.67 is: 2,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.45 : 7,849.64 = 1,722.67 : x
  2. Step 2: Convert to fraction form
    5,232.45/7,849.64 = 1,722.67/x
  3. Step 3: Cross multiply
    5,232.45x = 7,849.64 × 1,722.67
  4. Step 4: Simplify right side
    5,232.45x = 13,522,324.02
  5. Step 5: Solve for x
    x = 13,522,324.02/5,232.45
  6. Step 6: Final answer
    x = 2,584.32

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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.