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Finding the Fourth Proportional to 3,195.42, 4,793.93 and 3,142.44

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Solution

The fourth proportional to 3,195.42, 4,793.93 and 3,142.44 is: 4,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.42 : 4,793.93 = 3,142.44 : x
  2. Step 2: Convert to fraction form
    3,195.42/4,793.93 = 3,142.44/x
  3. Step 3: Cross multiply
    3,195.42x = 4,793.93 × 3,142.44
  4. Step 4: Simplify right side
    3,195.42x = 15,064,639.65
  5. Step 5: Solve for x
    x = 15,064,639.65/3,195.42
  6. Step 6: Final answer
    x = 4,714.45

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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.