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Finding the Fourth Proportional to 5,404.69, 8,107.88 and 2,284.71

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Solution

The fourth proportional to 5,404.69, 8,107.88 and 2,284.71 is: 3,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.69 : 8,107.88 = 2,284.71 : x
  2. Step 2: Convert to fraction form
    5,404.69/8,107.88 = 2,284.71/x
  3. Step 3: Cross multiply
    5,404.69x = 8,107.88 × 2,284.71
  4. Step 4: Simplify right side
    5,404.69x = 18,524,154.51
  5. Step 5: Solve for x
    x = 18,524,154.51/5,404.69
  6. Step 6: Final answer
    x = 3,427.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.