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Finding the Fourth Proportional to 5,793.26, 7,983.98 and 4,114.74

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Solution

The fourth proportional to 5,793.26, 7,983.98 and 4,114.74 is: 5,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.26 : 7,983.98 = 4,114.74 : x
  2. Step 2: Convert to fraction form
    5,793.26/7,983.98 = 4,114.74/x
  3. Step 3: Cross multiply
    5,793.26x = 7,983.98 × 4,114.74
  4. Step 4: Simplify right side
    5,793.26x = 32,852,001.87
  5. Step 5: Solve for x
    x = 32,852,001.87/5,793.26
  6. Step 6: Final answer
    x = 5,670.73

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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.