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Finding the Fourth Proportional to 5,793.66, 8,000.46 and 3,701.43

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Solution

The fourth proportional to 5,793.66, 8,000.46 and 3,701.43 is: 5,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.66 : 8,000.46 = 3,701.43 : x
  2. Step 2: Convert to fraction form
    5,793.66/8,000.46 = 3,701.43/x
  3. Step 3: Cross multiply
    5,793.66x = 8,000.46 × 3,701.43
  4. Step 4: Simplify right side
    5,793.66x = 29,613,142.66
  5. Step 5: Solve for x
    x = 29,613,142.66/5,793.66
  6. Step 6: Final answer
    x = 5,111.30

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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.