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Finding the Fourth Proportional to 3,883.84, 5,312.30 and 3,823.36

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Solution

The fourth proportional to 3,883.84, 5,312.30 and 3,823.36 is: 5,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.84 : 5,312.30 = 3,823.36 : x
  2. Step 2: Convert to fraction form
    3,883.84/5,312.30 = 3,823.36/x
  3. Step 3: Cross multiply
    3,883.84x = 5,312.30 × 3,823.36
  4. Step 4: Simplify right side
    3,883.84x = 20,310,835.33
  5. Step 5: Solve for x
    x = 20,310,835.33/3,883.84
  6. Step 6: Final answer
    x = 5,229.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.