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Finding the Fourth Proportional to 5,357.05, 8,034.02 and 2,069.39

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Solution

The fourth proportional to 5,357.05, 8,034.02 and 2,069.39 is: 3,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.05 : 8,034.02 = 2,069.39 : x
  2. Step 2: Convert to fraction form
    5,357.05/8,034.02 = 2,069.39/x
  3. Step 3: Cross multiply
    5,357.05x = 8,034.02 × 2,069.39
  4. Step 4: Simplify right side
    5,357.05x = 16,625,538.15
  5. Step 5: Solve for x
    x = 16,625,538.15/5,357.05
  6. Step 6: Final answer
    x = 3,103.49

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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.