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Finding the Fourth Proportional to 7,284, 10,923.42 and 2,900.28

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Solution

The fourth proportional to 7,284, 10,923.42 and 2,900.28 is: 4,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284 : 10,923.42 = 2,900.28 : x
  2. Step 2: Convert to fraction form
    7,284/10,923.42 = 2,900.28/x
  3. Step 3: Cross multiply
    7,284x = 10,923.42 × 2,900.28
  4. Step 4: Simplify right side
    7,284x = 31,680,976.56
  5. Step 5: Solve for x
    x = 31,680,976.56/7,284
  6. Step 6: Final answer
    x = 4,349.39

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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.