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Finding the Fourth Proportional to 5,793.20, 7,990.26 and 4,091

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Solution

The fourth proportional to 5,793.20, 7,990.26 and 4,091 is: 5,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.20 : 7,990.26 = 4,091 : x
  2. Step 2: Convert to fraction form
    5,793.20/7,990.26 = 4,091/x
  3. Step 3: Cross multiply
    5,793.20x = 7,990.26 × 4,091
  4. Step 4: Simplify right side
    5,793.20x = 32,688,153.66
  5. Step 5: Solve for x
    x = 32,688,153.66/5,793.20
  6. Step 6: Final answer
    x = 5,642.50

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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.