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Finding the Fourth Proportional to 4,506.78, 6,186.26 and 3,998.31

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Solution

The fourth proportional to 4,506.78, 6,186.26 and 3,998.31 is: 5,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.78 : 6,186.26 = 3,998.31 : x
  2. Step 2: Convert to fraction form
    4,506.78/6,186.26 = 3,998.31/x
  3. Step 3: Cross multiply
    4,506.78x = 6,186.26 × 3,998.31
  4. Step 4: Simplify right side
    4,506.78x = 24,734,585.22
  5. Step 5: Solve for x
    x = 24,734,585.22/4,506.78
  6. Step 6: Final answer
    x = 5,488.31

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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.