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Finding the Fourth Proportional to 3,524.68, 5,287 and 892.18

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Solution

The fourth proportional to 3,524.68, 5,287 and 892.18 is: 1,338.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.68 : 5,287 = 892.18 : x
  2. Step 2: Convert to fraction form
    3,524.68/5,287 = 892.18/x
  3. Step 3: Cross multiply
    3,524.68x = 5,287 × 892.18
  4. Step 4: Simplify right side
    3,524.68x = 4,716,955.66
  5. Step 5: Solve for x
    x = 4,716,955.66/3,524.68
  6. Step 6: Final answer
    x = 1,338.26

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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.