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Finding the Fourth Proportional to 3,471.14, 5,208.87 and 1,524.98

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Solution

The fourth proportional to 3,471.14, 5,208.87 and 1,524.98 is: 2,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.14 : 5,208.87 = 1,524.98 : x
  2. Step 2: Convert to fraction form
    3,471.14/5,208.87 = 1,524.98/x
  3. Step 3: Cross multiply
    3,471.14x = 5,208.87 × 1,524.98
  4. Step 4: Simplify right side
    3,471.14x = 7,943,422.57
  5. Step 5: Solve for x
    x = 7,943,422.57/3,471.14
  6. Step 6: Final answer
    x = 2,288.42

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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.