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Finding the Fourth Proportional to 3,837.40, 5,756.10 and 3,254.20

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Solution

The fourth proportional to 3,837.40, 5,756.10 and 3,254.20 is: 4,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.40 : 5,756.10 = 3,254.20 : x
  2. Step 2: Convert to fraction form
    3,837.40/5,756.10 = 3,254.20/x
  3. Step 3: Cross multiply
    3,837.40x = 5,756.10 × 3,254.20
  4. Step 4: Simplify right side
    3,837.40x = 18,731,500.62
  5. Step 5: Solve for x
    x = 18,731,500.62/3,837.40
  6. Step 6: Final answer
    x = 4,881.30

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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.