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Finding the Fourth Proportional to 3,245.83, 4,868.17 and 873.95

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Solution

The fourth proportional to 3,245.83, 4,868.17 and 873.95 is: 1,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.83 : 4,868.17 = 873.95 : x
  2. Step 2: Convert to fraction form
    3,245.83/4,868.17 = 873.95/x
  3. Step 3: Cross multiply
    3,245.83x = 4,868.17 × 873.95
  4. Step 4: Simplify right side
    3,245.83x = 4,254,510.65
  5. Step 5: Solve for x
    x = 4,254,510.65/3,245.83
  6. Step 6: Final answer
    x = 1,310.76

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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.