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Finding the Fourth Proportional to 4,152.88, 6,232.02 and 3,819.16

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Solution

The fourth proportional to 4,152.88, 6,232.02 and 3,819.16 is: 5,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.88 : 6,232.02 = 3,819.16 : x
  2. Step 2: Convert to fraction form
    4,152.88/6,232.02 = 3,819.16/x
  3. Step 3: Cross multiply
    4,152.88x = 6,232.02 × 3,819.16
  4. Step 4: Simplify right side
    4,152.88x = 23,801,081.50
  5. Step 5: Solve for x
    x = 23,801,081.50/4,152.88
  6. Step 6: Final answer
    x = 5,731.22

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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.