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Finding the Fourth Proportional to 4,091.42, 6,137.13 and 1,782.92

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Solution

The fourth proportional to 4,091.42, 6,137.13 and 1,782.92 is: 2,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.42 : 6,137.13 = 1,782.92 : x
  2. Step 2: Convert to fraction form
    4,091.42/6,137.13 = 1,782.92/x
  3. Step 3: Cross multiply
    4,091.42x = 6,137.13 × 1,782.92
  4. Step 4: Simplify right side
    4,091.42x = 10,942,011.82
  5. Step 5: Solve for x
    x = 10,942,011.82/4,091.42
  6. Step 6: Final answer
    x = 2,674.38

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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.