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Finding the Fourth Proportional to 5,914.64, 8,872.14 and 2,216.16

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Solution

The fourth proportional to 5,914.64, 8,872.14 and 2,216.16 is: 3,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.64 : 8,872.14 = 2,216.16 : x
  2. Step 2: Convert to fraction form
    5,914.64/8,872.14 = 2,216.16/x
  3. Step 3: Cross multiply
    5,914.64x = 8,872.14 × 2,216.16
  4. Step 4: Simplify right side
    5,914.64x = 19,662,081.78
  5. Step 5: Solve for x
    x = 19,662,081.78/5,914.64
  6. Step 6: Final answer
    x = 3,324.31

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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.