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Finding the Fourth Proportional to 3,655.50, 5,044.59 and 1,999.50

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Solution

The fourth proportional to 3,655.50, 5,044.59 and 1,999.50 is: 2,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.50 : 5,044.59 = 1,999.50 : x
  2. Step 2: Convert to fraction form
    3,655.50/5,044.59 = 1,999.50/x
  3. Step 3: Cross multiply
    3,655.50x = 5,044.59 × 1,999.50
  4. Step 4: Simplify right side
    3,655.50x = 10,086,657.71
  5. Step 5: Solve for x
    x = 10,086,657.71/3,655.50
  6. Step 6: Final answer
    x = 2,759.31

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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.