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Finding the Fourth Proportional to 4,226.88, 6,327.02 and 2,902.88

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Solution

The fourth proportional to 4,226.88, 6,327.02 and 2,902.88 is: 4,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.88 : 6,327.02 = 2,902.88 : x
  2. Step 2: Convert to fraction form
    4,226.88/6,327.02 = 2,902.88/x
  3. Step 3: Cross multiply
    4,226.88x = 6,327.02 × 2,902.88
  4. Step 4: Simplify right side
    4,226.88x = 18,366,533.67
  5. Step 5: Solve for x
    x = 18,366,533.67/4,226.88
  6. Step 6: Final answer
    x = 4,345.18

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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.