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Finding the Fourth Proportional to 4,156.62, 6,235.98 and 1,234.83

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Solution

The fourth proportional to 4,156.62, 6,235.98 and 1,234.83 is: 1,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.62 : 6,235.98 = 1,234.83 : x
  2. Step 2: Convert to fraction form
    4,156.62/6,235.98 = 1,234.83/x
  3. Step 3: Cross multiply
    4,156.62x = 6,235.98 × 1,234.83
  4. Step 4: Simplify right side
    4,156.62x = 7,700,375.18
  5. Step 5: Solve for x
    x = 7,700,375.18/4,156.62
  6. Step 6: Final answer
    x = 1,852.56

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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.