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Finding the Fourth Proportional to 7,282.05, 10,923.05 and 2,898.48

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Solution

The fourth proportional to 7,282.05, 10,923.05 and 2,898.48 is: 4,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.05 : 10,923.05 = 2,898.48 : x
  2. Step 2: Convert to fraction form
    7,282.05/10,923.05 = 2,898.48/x
  3. Step 3: Cross multiply
    7,282.05x = 10,923.05 × 2,898.48
  4. Step 4: Simplify right side
    7,282.05x = 31,660,227.47
  5. Step 5: Solve for x
    x = 31,660,227.47/7,282.05
  6. Step 6: Final answer
    x = 4,347.71

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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.