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Finding the Fourth Proportional to 4,566, 6,301.20 and 2,576

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Solution

The fourth proportional to 4,566, 6,301.20 and 2,576 is: 3,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566 : 6,301.20 = 2,576 : x
  2. Step 2: Convert to fraction form
    4,566/6,301.20 = 2,576/x
  3. Step 3: Cross multiply
    4,566x = 6,301.20 × 2,576
  4. Step 4: Simplify right side
    4,566x = 16,231,891.20
  5. Step 5: Solve for x
    x = 16,231,891.20/4,566
  6. Step 6: Final answer
    x = 3,554.95

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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.