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Finding the Fourth Proportional to 4,137.77, 6,207.81 and 1,674.32

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Solution

The fourth proportional to 4,137.77, 6,207.81 and 1,674.32 is: 2,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.77 : 6,207.81 = 1,674.32 : x
  2. Step 2: Convert to fraction form
    4,137.77/6,207.81 = 1,674.32/x
  3. Step 3: Cross multiply
    4,137.77x = 6,207.81 × 1,674.32
  4. Step 4: Simplify right side
    4,137.77x = 10,393,829.40
  5. Step 5: Solve for x
    x = 10,393,829.40/4,137.77
  6. Step 6: Final answer
    x = 2,511.94

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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.