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Finding the Fourth Proportional to 3,884.98, 5,823.54 and 2,216.68

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Solution

The fourth proportional to 3,884.98, 5,823.54 and 2,216.68 is: 3,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.98 : 5,823.54 = 2,216.68 : x
  2. Step 2: Convert to fraction form
    3,884.98/5,823.54 = 2,216.68/x
  3. Step 3: Cross multiply
    3,884.98x = 5,823.54 × 2,216.68
  4. Step 4: Simplify right side
    3,884.98x = 12,908,924.65
  5. Step 5: Solve for x
    x = 12,908,924.65/3,884.98
  6. Step 6: Final answer
    x = 3,322.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.