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Finding the Fourth Proportional to 3,974.85, 5,486.09 and 3,311.01

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Solution

The fourth proportional to 3,974.85, 5,486.09 and 3,311.01 is: 4,569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.85 : 5,486.09 = 3,311.01 : x
  2. Step 2: Convert to fraction form
    3,974.85/5,486.09 = 3,311.01/x
  3. Step 3: Cross multiply
    3,974.85x = 5,486.09 × 3,311.01
  4. Step 4: Simplify right side
    3,974.85x = 18,164,482.30
  5. Step 5: Solve for x
    x = 18,164,482.30/3,974.85
  6. Step 6: Final answer
    x = 4,569.85

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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.