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Finding the Fourth Proportional to 3,853.99, 5,780.99 and 2,311.75

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Solution

The fourth proportional to 3,853.99, 5,780.99 and 2,311.75 is: 3,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.99 : 5,780.99 = 2,311.75 : x
  2. Step 2: Convert to fraction form
    3,853.99/5,780.99 = 2,311.75/x
  3. Step 3: Cross multiply
    3,853.99x = 5,780.99 × 2,311.75
  4. Step 4: Simplify right side
    3,853.99x = 13,364,203.63
  5. Step 5: Solve for x
    x = 13,364,203.63/3,853.99
  6. Step 6: Final answer
    x = 3,467.63

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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.