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Finding the Fourth Proportional to 5,539, 8,304.72 and 3,072.28

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Solution

The fourth proportional to 5,539, 8,304.72 and 3,072.28 is: 4,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539 : 8,304.72 = 3,072.28 : x
  2. Step 2: Convert to fraction form
    5,539/8,304.72 = 3,072.28/x
  3. Step 3: Cross multiply
    5,539x = 8,304.72 × 3,072.28
  4. Step 4: Simplify right side
    5,539x = 25,514,425.16
  5. Step 5: Solve for x
    x = 25,514,425.16/5,539
  6. Step 6: Final answer
    x = 4,606.32

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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.