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Finding the Fourth Proportional to 3,662.56, 5,491.22 and 1,713.70

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Solution

The fourth proportional to 3,662.56, 5,491.22 and 1,713.70 is: 2,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.56 : 5,491.22 = 1,713.70 : x
  2. Step 2: Convert to fraction form
    3,662.56/5,491.22 = 1,713.70/x
  3. Step 3: Cross multiply
    3,662.56x = 5,491.22 × 1,713.70
  4. Step 4: Simplify right side
    3,662.56x = 9,410,294.27
  5. Step 5: Solve for x
    x = 9,410,294.27/3,662.56
  6. Step 6: Final answer
    x = 2,569.32

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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.