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Finding the Fourth Proportional to 4,903.60, 6,768.12 and 3,227.28

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Solution

The fourth proportional to 4,903.60, 6,768.12 and 3,227.28 is: 4,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.60 : 6,768.12 = 3,227.28 : x
  2. Step 2: Convert to fraction form
    4,903.60/6,768.12 = 3,227.28/x
  3. Step 3: Cross multiply
    4,903.60x = 6,768.12 × 3,227.28
  4. Step 4: Simplify right side
    4,903.60x = 21,842,618.31
  5. Step 5: Solve for x
    x = 21,842,618.31/4,903.60
  6. Step 6: Final answer
    x = 4,454.40

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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.