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Finding the Fourth Proportional to 3,782.40, 5,215.19 and 2,455.62

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Solution

The fourth proportional to 3,782.40, 5,215.19 and 2,455.62 is: 3,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.40 : 5,215.19 = 2,455.62 : x
  2. Step 2: Convert to fraction form
    3,782.40/5,215.19 = 2,455.62/x
  3. Step 3: Cross multiply
    3,782.40x = 5,215.19 × 2,455.62
  4. Step 4: Simplify right side
    3,782.40x = 12,806,524.87
  5. Step 5: Solve for x
    x = 12,806,524.87/3,782.40
  6. Step 6: Final answer
    x = 3,385.82

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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.