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Finding the Fourth Proportional to 5,048.76, 6,952.31 and 3,629.95

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Solution

The fourth proportional to 5,048.76, 6,952.31 and 3,629.95 is: 4,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.76 : 6,952.31 = 3,629.95 : x
  2. Step 2: Convert to fraction form
    5,048.76/6,952.31 = 3,629.95/x
  3. Step 3: Cross multiply
    5,048.76x = 6,952.31 × 3,629.95
  4. Step 4: Simplify right side
    5,048.76x = 25,236,537.68
  5. Step 5: Solve for x
    x = 25,236,537.68/5,048.76
  6. Step 6: Final answer
    x = 4,998.56

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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.