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Finding the Fourth Proportional to 3,674.63, 5,509.22 and 1,728.20

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Solution

The fourth proportional to 3,674.63, 5,509.22 and 1,728.20 is: 2,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.63 : 5,509.22 = 1,728.20 : x
  2. Step 2: Convert to fraction form
    3,674.63/5,509.22 = 1,728.20/x
  3. Step 3: Cross multiply
    3,674.63x = 5,509.22 × 1,728.20
  4. Step 4: Simplify right side
    3,674.63x = 9,521,039.14
  5. Step 5: Solve for x
    x = 9,521,039.14/3,674.63
  6. Step 6: Final answer
    x = 2,591.02

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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.