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Finding the Fourth Proportional to 6,177.90, 8,522.28 and 3,788.43

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Solution

The fourth proportional to 6,177.90, 8,522.28 and 3,788.43 is: 5,226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.90 : 8,522.28 = 3,788.43 : x
  2. Step 2: Convert to fraction form
    6,177.90/8,522.28 = 3,788.43/x
  3. Step 3: Cross multiply
    6,177.90x = 8,522.28 × 3,788.43
  4. Step 4: Simplify right side
    6,177.90x = 32,286,028.08
  5. Step 5: Solve for x
    x = 32,286,028.08/6,177.90
  6. Step 6: Final answer
    x = 5,226.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.