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Finding the Fourth Proportional to 6,299.58, 9,453.02 and 3,488.70

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Solution

The fourth proportional to 6,299.58, 9,453.02 and 3,488.70 is: 5,235.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.58 : 9,453.02 = 3,488.70 : x
  2. Step 2: Convert to fraction form
    6,299.58/9,453.02 = 3,488.70/x
  3. Step 3: Cross multiply
    6,299.58x = 9,453.02 × 3,488.70
  4. Step 4: Simplify right side
    6,299.58x = 32,978,750.87
  5. Step 5: Solve for x
    x = 32,978,750.87/6,299.58
  6. Step 6: Final answer
    x = 5,235.07

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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.