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Finding the Fourth Proportional to 3,629.50, 5,008.71 and 1,973.50

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Solution

The fourth proportional to 3,629.50, 5,008.71 and 1,973.50 is: 2,723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.50 : 5,008.71 = 1,973.50 : x
  2. Step 2: Convert to fraction form
    3,629.50/5,008.71 = 1,973.50/x
  3. Step 3: Cross multiply
    3,629.50x = 5,008.71 × 1,973.50
  4. Step 4: Simplify right side
    3,629.50x = 9,884,689.19
  5. Step 5: Solve for x
    x = 9,884,689.19/3,629.50
  6. Step 6: Final answer
    x = 2,723.43

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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.