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Finding the Fourth Proportional to 5,922.36, 8,173.84 and 3,532.64

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Solution

The fourth proportional to 5,922.36, 8,173.84 and 3,532.64 is: 4,875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.36 : 8,173.84 = 3,532.64 : x
  2. Step 2: Convert to fraction form
    5,922.36/8,173.84 = 3,532.64/x
  3. Step 3: Cross multiply
    5,922.36x = 8,173.84 × 3,532.64
  4. Step 4: Simplify right side
    5,922.36x = 28,875,234.14
  5. Step 5: Solve for x
    x = 28,875,234.14/5,922.36
  6. Step 6: Final answer
    x = 4,875.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.