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Finding the Fourth Proportional to 4,979.16, 7,469.81 and 1,516.32

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Solution

The fourth proportional to 4,979.16, 7,469.81 and 1,516.32 is: 2,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,979.16 : 7,469.81 = 1,516.32 : x
  2. Step 2: Convert to fraction form
    4,979.16/7,469.81 = 1,516.32/x
  3. Step 3: Cross multiply
    4,979.16x = 7,469.81 × 1,516.32
  4. Step 4: Simplify right side
    4,979.16x = 11,326,622.30
  5. Step 5: Solve for x
    x = 11,326,622.30/4,979.16
  6. Step 6: Final answer
    x = 2,274.81

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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.