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Finding the Fourth Proportional to 7,303.50, 10,949.78 and 2,370.20

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Solution

The fourth proportional to 7,303.50, 10,949.78 and 2,370.20 is: 3,553.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.50 : 10,949.78 = 2,370.20 : x
  2. Step 2: Convert to fraction form
    7,303.50/10,949.78 = 2,370.20/x
  3. Step 3: Cross multiply
    7,303.50x = 10,949.78 × 2,370.20
  4. Step 4: Simplify right side
    7,303.50x = 25,953,119.73
  5. Step 5: Solve for x
    x = 25,953,119.73/7,303.50
  6. Step 6: Final answer
    x = 3,553.52

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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.