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Finding the Fourth Proportional to 3,813.24, 5,719.80 and 1,216.14

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Solution

The fourth proportional to 3,813.24, 5,719.80 and 1,216.14 is: 1,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.24 : 5,719.80 = 1,216.14 : x
  2. Step 2: Convert to fraction form
    3,813.24/5,719.80 = 1,216.14/x
  3. Step 3: Cross multiply
    3,813.24x = 5,719.80 × 1,216.14
  4. Step 4: Simplify right side
    3,813.24x = 6,956,077.57
  5. Step 5: Solve for x
    x = 6,956,077.57/3,813.24
  6. Step 6: Final answer
    x = 1,824.19

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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.