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Finding the Fourth Proportional to 3,900.78, 5,383.05 and 2,308.52

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Solution

The fourth proportional to 3,900.78, 5,383.05 and 2,308.52 is: 3,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.78 : 5,383.05 = 2,308.52 : x
  2. Step 2: Convert to fraction form
    3,900.78/5,383.05 = 2,308.52/x
  3. Step 3: Cross multiply
    3,900.78x = 5,383.05 × 2,308.52
  4. Step 4: Simplify right side
    3,900.78x = 12,426,851.67
  5. Step 5: Solve for x
    x = 12,426,851.67/3,900.78
  6. Step 6: Final answer
    x = 3,185.74

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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.