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Finding the Fourth Proportional to 4,616, 6,372.96 and 2,962.88

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Solution

The fourth proportional to 4,616, 6,372.96 and 2,962.88 is: 4,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616 : 6,372.96 = 2,962.88 : x
  2. Step 2: Convert to fraction form
    4,616/6,372.96 = 2,962.88/x
  3. Step 3: Cross multiply
    4,616x = 6,372.96 × 2,962.88
  4. Step 4: Simplify right side
    4,616x = 18,882,315.72
  5. Step 5: Solve for x
    x = 18,882,315.72/4,616
  6. Step 6: Final answer
    x = 4,090.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.