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Finding the Fourth Proportional to 5,914.88, 8,872.32 and 3,319.64

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Solution

The fourth proportional to 5,914.88, 8,872.32 and 3,319.64 is: 4,979.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.88 : 8,872.32 = 3,319.64 : x
  2. Step 2: Convert to fraction form
    5,914.88/8,872.32 = 3,319.64/x
  3. Step 3: Cross multiply
    5,914.88x = 8,872.32 × 3,319.64
  4. Step 4: Simplify right side
    5,914.88x = 29,452,908.36
  5. Step 5: Solve for x
    x = 29,452,908.36/5,914.88
  6. Step 6: Final answer
    x = 4,979.46

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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.