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Finding the Fourth Proportional to 4,047.10, 5,548.57 and 3,973.29

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Solution

The fourth proportional to 4,047.10, 5,548.57 and 3,973.29 is: 5,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.10 : 5,548.57 = 3,973.29 : x
  2. Step 2: Convert to fraction form
    4,047.10/5,548.57 = 3,973.29/x
  3. Step 3: Cross multiply
    4,047.10x = 5,548.57 × 3,973.29
  4. Step 4: Simplify right side
    4,047.10x = 22,046,046.95
  5. Step 5: Solve for x
    x = 22,046,046.95/4,047.10
  6. Step 6: Final answer
    x = 5,447.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.