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Finding the Fourth Proportional to 4,922.80, 7,384.20 and 4,289.20

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Solution

The fourth proportional to 4,922.80, 7,384.20 and 4,289.20 is: 6,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.80 : 7,384.20 = 4,289.20 : x
  2. Step 2: Convert to fraction form
    4,922.80/7,384.20 = 4,289.20/x
  3. Step 3: Cross multiply
    4,922.80x = 7,384.20 × 4,289.20
  4. Step 4: Simplify right side
    4,922.80x = 31,672,310.64
  5. Step 5: Solve for x
    x = 31,672,310.64/4,922.80
  6. Step 6: Final answer
    x = 6,433.80

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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.