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Finding the Fourth Proportional to 3,524.66, 5,286.56 and 892.16

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Solution

The fourth proportional to 3,524.66, 5,286.56 and 892.16 is: 1,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.66 : 5,286.56 = 892.16 : x
  2. Step 2: Convert to fraction form
    3,524.66/5,286.56 = 892.16/x
  3. Step 3: Cross multiply
    3,524.66x = 5,286.56 × 892.16
  4. Step 4: Simplify right side
    3,524.66x = 4,716,457.37
  5. Step 5: Solve for x
    x = 4,716,457.37/3,524.66
  6. Step 6: Final answer
    x = 1,338.13

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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.