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Finding the Fourth Proportional to 3,880.69, 5,821.64 and 1,284.23

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Solution

The fourth proportional to 3,880.69, 5,821.64 and 1,284.23 is: 1,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.69 : 5,821.64 = 1,284.23 : x
  2. Step 2: Convert to fraction form
    3,880.69/5,821.64 = 1,284.23/x
  3. Step 3: Cross multiply
    3,880.69x = 5,821.64 × 1,284.23
  4. Step 4: Simplify right side
    3,880.69x = 7,476,337.69
  5. Step 5: Solve for x
    x = 7,476,337.69/3,880.69
  6. Step 6: Final answer
    x = 1,926.55

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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.