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Finding the Fourth Proportional to 5,793.31, 7,994.64 and 3,140.65

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Solution

The fourth proportional to 5,793.31, 7,994.64 and 3,140.65 is: 4,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.31 : 7,994.64 = 3,140.65 : x
  2. Step 2: Convert to fraction form
    5,793.31/7,994.64 = 3,140.65/x
  3. Step 3: Cross multiply
    5,793.31x = 7,994.64 × 3,140.65
  4. Step 4: Simplify right side
    5,793.31x = 25,108,366.12
  5. Step 5: Solve for x
    x = 25,108,366.12/5,793.31
  6. Step 6: Final answer
    x = 4,334.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.