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Finding the Fourth Proportional to 4,139.43, 6,208.96 and 1,019.44

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Solution

The fourth proportional to 4,139.43, 6,208.96 and 1,019.44 is: 1,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.43 : 6,208.96 = 1,019.44 : x
  2. Step 2: Convert to fraction form
    4,139.43/6,208.96 = 1,019.44/x
  3. Step 3: Cross multiply
    4,139.43x = 6,208.96 × 1,019.44
  4. Step 4: Simplify right side
    4,139.43x = 6,329,662.18
  5. Step 5: Solve for x
    x = 6,329,662.18/4,139.43
  6. Step 6: Final answer
    x = 1,529.11

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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.