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Finding the Fourth Proportional to 3,475.66, 5,211.86 and 2,015.24

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Solution

The fourth proportional to 3,475.66, 5,211.86 and 2,015.24 is: 3,021.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.66 : 5,211.86 = 2,015.24 : x
  2. Step 2: Convert to fraction form
    3,475.66/5,211.86 = 2,015.24/x
  3. Step 3: Cross multiply
    3,475.66x = 5,211.86 × 2,015.24
  4. Step 4: Simplify right side
    3,475.66x = 10,503,148.75
  5. Step 5: Solve for x
    x = 10,503,148.75/3,475.66
  6. Step 6: Final answer
    x = 3,021.91

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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.