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Finding the Fourth Proportional to 7,049.50, 10,573.84 and 2,119.03

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Solution

The fourth proportional to 7,049.50, 10,573.84 and 2,119.03 is: 3,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.50 : 10,573.84 = 2,119.03 : x
  2. Step 2: Convert to fraction form
    7,049.50/10,573.84 = 2,119.03/x
  3. Step 3: Cross multiply
    7,049.50x = 10,573.84 × 2,119.03
  4. Step 4: Simplify right side
    7,049.50x = 22,406,284.18
  5. Step 5: Solve for x
    x = 22,406,284.18/7,049.50
  6. Step 6: Final answer
    x = 3,178.42

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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.