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Finding the Fourth Proportional to 3,539.90, 5,308.34 and 1,783.82

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Solution

The fourth proportional to 3,539.90, 5,308.34 and 1,783.82 is: 2,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.90 : 5,308.34 = 1,783.82 : x
  2. Step 2: Convert to fraction form
    3,539.90/5,308.34 = 1,783.82/x
  3. Step 3: Cross multiply
    3,539.90x = 5,308.34 × 1,783.82
  4. Step 4: Simplify right side
    3,539.90x = 9,469,127.41
  5. Step 5: Solve for x
    x = 9,469,127.41/3,539.90
  6. Step 6: Final answer
    x = 2,674.97

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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.