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Finding the Fourth Proportional to 4,982.64, 7,467.42 and 2,059.32

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Solution

The fourth proportional to 4,982.64, 7,467.42 and 2,059.32 is: 3,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.64 : 7,467.42 = 2,059.32 : x
  2. Step 2: Convert to fraction form
    4,982.64/7,467.42 = 2,059.32/x
  3. Step 3: Cross multiply
    4,982.64x = 7,467.42 × 2,059.32
  4. Step 4: Simplify right side
    4,982.64x = 15,377,807.35
  5. Step 5: Solve for x
    x = 15,377,807.35/4,982.64
  6. Step 6: Final answer
    x = 3,086.28

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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.