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Finding the Fourth Proportional to 5,793.36, 7,994.84 and 3,140.80

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Solution

The fourth proportional to 5,793.36, 7,994.84 and 3,140.80 is: 4,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.36 : 7,994.84 = 3,140.80 : x
  2. Step 2: Convert to fraction form
    5,793.36/7,994.84 = 3,140.80/x
  3. Step 3: Cross multiply
    5,793.36x = 7,994.84 × 3,140.80
  4. Step 4: Simplify right side
    5,793.36x = 25,110,193.47
  5. Step 5: Solve for x
    x = 25,110,193.47/5,793.36
  6. Step 6: Final answer
    x = 4,334.31

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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.