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Finding the Fourth Proportional to 3,788.38, 5,226.12 and 3,263.50

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Solution

The fourth proportional to 3,788.38, 5,226.12 and 3,263.50 is: 4,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.38 : 5,226.12 = 3,263.50 : x
  2. Step 2: Convert to fraction form
    3,788.38/5,226.12 = 3,263.50/x
  3. Step 3: Cross multiply
    3,788.38x = 5,226.12 × 3,263.50
  4. Step 4: Simplify right side
    3,788.38x = 17,055,442.62
  5. Step 5: Solve for x
    x = 17,055,442.62/3,788.38
  6. Step 6: Final answer
    x = 4,502.04

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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.