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Finding the Fourth Proportional to 3,624.85, 5,436.43 and 1,774.11

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Solution

The fourth proportional to 3,624.85, 5,436.43 and 1,774.11 is: 2,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.85 : 5,436.43 = 1,774.11 : x
  2. Step 2: Convert to fraction form
    3,624.85/5,436.43 = 1,774.11/x
  3. Step 3: Cross multiply
    3,624.85x = 5,436.43 × 1,774.11
  4. Step 4: Simplify right side
    3,624.85x = 9,644,824.83
  5. Step 5: Solve for x
    x = 9,644,824.83/3,624.85
  6. Step 6: Final answer
    x = 2,660.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.