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Finding the Fourth Proportional to 3,838.30, 5,290.02 and 3,305.80

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Solution

The fourth proportional to 3,838.30, 5,290.02 and 3,305.80 is: 4,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.30 : 5,290.02 = 3,305.80 : x
  2. Step 2: Convert to fraction form
    3,838.30/5,290.02 = 3,305.80/x
  3. Step 3: Cross multiply
    3,838.30x = 5,290.02 × 3,305.80
  4. Step 4: Simplify right side
    3,838.30x = 17,487,748.12
  5. Step 5: Solve for x
    x = 17,487,748.12/3,838.30
  6. Step 6: Final answer
    x = 4,556.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.