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Finding the Fourth Proportional to 3,630.24, 5,009.76 and 1,974.24

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Solution

The fourth proportional to 3,630.24, 5,009.76 and 1,974.24 is: 2,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.24 : 5,009.76 = 1,974.24 : x
  2. Step 2: Convert to fraction form
    3,630.24/5,009.76 = 1,974.24/x
  3. Step 3: Cross multiply
    3,630.24x = 5,009.76 × 1,974.24
  4. Step 4: Simplify right side
    3,630.24x = 9,890,468.58
  5. Step 5: Solve for x
    x = 9,890,468.58/3,630.24
  6. Step 6: Final answer
    x = 2,724.47

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1.5x scale

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.