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Finding the Fourth Proportional to 7,230.94, 10,842.26 and 2,846.00

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Solution

The fourth proportional to 7,230.94, 10,842.26 and 2,846.00 is: 4,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.94 : 10,842.26 = 2,846.00 : x
  2. Step 2: Convert to fraction form
    7,230.94/10,842.26 = 2,846.00/x
  3. Step 3: Cross multiply
    7,230.94x = 10,842.26 × 2,846.00
  4. Step 4: Simplify right side
    7,230.94x = 30,857,084.84
  5. Step 5: Solve for x
    x = 30,857,084.84/7,230.94
  6. Step 6: Final answer
    x = 4,267.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.