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Finding the Fourth Proportional to 4,138.96, 6,208.42 and 1,018.96

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Solution

The fourth proportional to 4,138.96, 6,208.42 and 1,018.96 is: 1,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.96 : 6,208.42 = 1,018.96 : x
  2. Step 2: Convert to fraction form
    4,138.96/6,208.42 = 1,018.96/x
  3. Step 3: Cross multiply
    4,138.96x = 6,208.42 × 1,018.96
  4. Step 4: Simplify right side
    4,138.96x = 6,326,131.64
  5. Step 5: Solve for x
    x = 6,326,131.64/4,138.96
  6. Step 6: Final answer
    x = 1,528.44

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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.