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Finding the Fourth Proportional to 6,289.19, 8,677.19 and 3,770.38

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Solution

The fourth proportional to 6,289.19, 8,677.19 and 3,770.38 is: 5,201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.19 : 8,677.19 = 3,770.38 : x
  2. Step 2: Convert to fraction form
    6,289.19/8,677.19 = 3,770.38/x
  3. Step 3: Cross multiply
    6,289.19x = 8,677.19 × 3,770.38
  4. Step 4: Simplify right side
    6,289.19x = 32,716,284.78
  5. Step 5: Solve for x
    x = 32,716,284.78/6,289.19
  6. Step 6: Final answer
    x = 5,201.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.