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Finding the Fourth Proportional to 3,783.90, 5,218.71 and 3,257.82

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Solution

The fourth proportional to 3,783.90, 5,218.71 and 3,257.82 is: 4,493.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.90 : 5,218.71 = 3,257.82 : x
  2. Step 2: Convert to fraction form
    3,783.90/5,218.71 = 3,257.82/x
  3. Step 3: Cross multiply
    3,783.90x = 5,218.71 × 3,257.82
  4. Step 4: Simplify right side
    3,783.90x = 17,001,617.81
  5. Step 5: Solve for x
    x = 17,001,617.81/3,783.90
  6. Step 6: Final answer
    x = 4,493.15

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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.