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Finding the Fourth Proportional to 3,534.53, 5,287.19 and 3,213.77

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Solution

The fourth proportional to 3,534.53, 5,287.19 and 3,213.77 is: 4,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.53 : 5,287.19 = 3,213.77 : x
  2. Step 2: Convert to fraction form
    3,534.53/5,287.19 = 3,213.77/x
  3. Step 3: Cross multiply
    3,534.53x = 5,287.19 × 3,213.77
  4. Step 4: Simplify right side
    3,534.53x = 16,991,770.10
  5. Step 5: Solve for x
    x = 16,991,770.10/3,534.53
  6. Step 6: Final answer
    x = 4,807.37

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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.