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Finding the Fourth Proportional to 4,576, 6,315.68 and 2,713.12

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Solution

The fourth proportional to 4,576, 6,315.68 and 2,713.12 is: 3,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576 : 6,315.68 = 2,713.12 : x
  2. Step 2: Convert to fraction form
    4,576/6,315.68 = 2,713.12/x
  3. Step 3: Cross multiply
    4,576x = 6,315.68 × 2,713.12
  4. Step 4: Simplify right side
    4,576x = 17,135,197.72
  5. Step 5: Solve for x
    x = 17,135,197.72/4,576
  6. Step 6: Final answer
    x = 3,744.58

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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.