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Finding the Fourth Proportional to 3,857.32, 5,782.26 and 2,377.42

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Solution

The fourth proportional to 3,857.32, 5,782.26 and 2,377.42 is: 3,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.32 : 5,782.26 = 2,377.42 : x
  2. Step 2: Convert to fraction form
    3,857.32/5,782.26 = 2,377.42/x
  3. Step 3: Cross multiply
    3,857.32x = 5,782.26 × 2,377.42
  4. Step 4: Simplify right side
    3,857.32x = 13,746,860.57
  5. Step 5: Solve for x
    x = 13,746,860.57/3,857.32
  6. Step 6: Final answer
    x = 3,563.84

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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.