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Finding the Fourth Proportional to 7,228.80, 10,844.40 and 2,846.40

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Solution

The fourth proportional to 7,228.80, 10,844.40 and 2,846.40 is: 4,270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.80 : 10,844.40 = 2,846.40 : x
  2. Step 2: Convert to fraction form
    7,228.80/10,844.40 = 2,846.40/x
  3. Step 3: Cross multiply
    7,228.80x = 10,844.40 × 2,846.40
  4. Step 4: Simplify right side
    7,228.80x = 30,867,500.16
  5. Step 5: Solve for x
    x = 30,867,500.16/7,228.80
  6. Step 6: Final answer
    x = 4,270.07

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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.