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Finding the Fourth Proportional to 4,553, 6,283.34 and 2,563.68

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Solution

The fourth proportional to 4,553, 6,283.34 and 2,563.68 is: 3,537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553 : 6,283.34 = 2,563.68 : x
  2. Step 2: Convert to fraction form
    4,553/6,283.34 = 2,563.68/x
  3. Step 3: Cross multiply
    4,553x = 6,283.34 × 2,563.68
  4. Step 4: Simplify right side
    4,553x = 16,108,473.09
  5. Step 5: Solve for x
    x = 16,108,473.09/4,553
  6. Step 6: Final answer
    x = 3,537.99

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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.