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Finding the Fourth Proportional to 3,862.84, 5,329.38 and 2,369.62

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Solution

The fourth proportional to 3,862.84, 5,329.38 and 2,369.62 is: 3,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.84 : 5,329.38 = 2,369.62 : x
  2. Step 2: Convert to fraction form
    3,862.84/5,329.38 = 2,369.62/x
  3. Step 3: Cross multiply
    3,862.84x = 5,329.38 × 2,369.62
  4. Step 4: Simplify right side
    3,862.84x = 12,628,605.44
  5. Step 5: Solve for x
    x = 12,628,605.44/3,862.84
  6. Step 6: Final answer
    x = 3,269.25

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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.