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Finding the Fourth Proportional to 4,157.77, 6,232.10 and 2,050.82

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Solution

The fourth proportional to 4,157.77, 6,232.10 and 2,050.82 is: 3,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.77 : 6,232.10 = 2,050.82 : x
  2. Step 2: Convert to fraction form
    4,157.77/6,232.10 = 2,050.82/x
  3. Step 3: Cross multiply
    4,157.77x = 6,232.10 × 2,050.82
  4. Step 4: Simplify right side
    4,157.77x = 12,780,920.65
  5. Step 5: Solve for x
    x = 12,780,920.65/4,157.77
  6. Step 6: Final answer
    x = 3,073.99

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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.