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Finding the Fourth Proportional to 4,114.70, 5,674.52 and 3,519.44

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Solution

The fourth proportional to 4,114.70, 5,674.52 and 3,519.44 is: 4,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.70 : 5,674.52 = 3,519.44 : x
  2. Step 2: Convert to fraction form
    4,114.70/5,674.52 = 3,519.44/x
  3. Step 3: Cross multiply
    4,114.70x = 5,674.52 × 3,519.44
  4. Step 4: Simplify right side
    4,114.70x = 19,971,086.70
  5. Step 5: Solve for x
    x = 19,971,086.70/4,114.70
  6. Step 6: Final answer
    x = 4,853.60

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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.