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Finding the Fourth Proportional to 4,644.70, 6,957.60 and 2,884.30

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Solution

The fourth proportional to 4,644.70, 6,957.60 and 2,884.30 is: 4,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.70 : 6,957.60 = 2,884.30 : x
  2. Step 2: Convert to fraction form
    4,644.70/6,957.60 = 2,884.30/x
  3. Step 3: Cross multiply
    4,644.70x = 6,957.60 × 2,884.30
  4. Step 4: Simplify right side
    4,644.70x = 20,067,805.68
  5. Step 5: Solve for x
    x = 20,067,805.68/4,644.70
  6. Step 6: Final answer
    x = 4,320.58

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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.