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Finding the Fourth Proportional to 3,821.84, 5,706.61 and 3,423.96

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Solution

The fourth proportional to 3,821.84, 5,706.61 and 3,423.96 is: 5,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.84 : 5,706.61 = 3,423.96 : x
  2. Step 2: Convert to fraction form
    3,821.84/5,706.61 = 3,423.96/x
  3. Step 3: Cross multiply
    3,821.84x = 5,706.61 × 3,423.96
  4. Step 4: Simplify right side
    3,821.84x = 19,539,204.38
  5. Step 5: Solve for x
    x = 19,539,204.38/3,821.84
  6. Step 6: Final answer
    x = 5,112.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.