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Finding the Fourth Proportional to 3,839.67, 5,275.77 and 3,052.35

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Solution

The fourth proportional to 3,839.67, 5,275.77 and 3,052.35 is: 4,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.67 : 5,275.77 = 3,052.35 : x
  2. Step 2: Convert to fraction form
    3,839.67/5,275.77 = 3,052.35/x
  3. Step 3: Cross multiply
    3,839.67x = 5,275.77 × 3,052.35
  4. Step 4: Simplify right side
    3,839.67x = 16,103,485.11
  5. Step 5: Solve for x
    x = 16,103,485.11/3,839.67
  6. Step 6: Final answer
    x = 4,193.98

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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.