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Finding the Fourth Proportional to 4,984.64, 7,466.56 and 2,512

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Solution

The fourth proportional to 4,984.64, 7,466.56 and 2,512 is: 3,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.64 : 7,466.56 = 2,512 : x
  2. Step 2: Convert to fraction form
    4,984.64/7,466.56 = 2,512/x
  3. Step 3: Cross multiply
    4,984.64x = 7,466.56 × 2,512
  4. Step 4: Simplify right side
    4,984.64x = 18,755,998.72
  5. Step 5: Solve for x
    x = 18,755,998.72/4,984.64
  6. Step 6: Final answer
    x = 3,762.76

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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.