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Finding the Fourth Proportional to 3,782.88, 5,215.68 and 2,383.20

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Solution

The fourth proportional to 3,782.88, 5,215.68 and 2,383.20 is: 3,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.88 : 5,215.68 = 2,383.20 : x
  2. Step 2: Convert to fraction form
    3,782.88/5,215.68 = 2,383.20/x
  3. Step 3: Cross multiply
    3,782.88x = 5,215.68 × 2,383.20
  4. Step 4: Simplify right side
    3,782.88x = 12,430,008.58
  5. Step 5: Solve for x
    x = 12,430,008.58/3,782.88
  6. Step 6: Final answer
    x = 3,285.86

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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.