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Finding the Fourth Proportional to 3,428.12, 5,133.98 and 3,255.90

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Solution

The fourth proportional to 3,428.12, 5,133.98 and 3,255.90 is: 4,876.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.12 : 5,133.98 = 3,255.90 : x
  2. Step 2: Convert to fraction form
    3,428.12/5,133.98 = 3,255.90/x
  3. Step 3: Cross multiply
    3,428.12x = 5,133.98 × 3,255.90
  4. Step 4: Simplify right side
    3,428.12x = 16,715,714.37
  5. Step 5: Solve for x
    x = 16,715,714.37/3,428.12
  6. Step 6: Final answer
    x = 4,876.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.