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Finding the Fourth Proportional to 3,426.09, 5,139.14 and 829.03

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Solution

The fourth proportional to 3,426.09, 5,139.14 and 829.03 is: 1,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.09 : 5,139.14 = 829.03 : x
  2. Step 2: Convert to fraction form
    3,426.09/5,139.14 = 829.03/x
  3. Step 3: Cross multiply
    3,426.09x = 5,139.14 × 829.03
  4. Step 4: Simplify right side
    3,426.09x = 4,260,501.23
  5. Step 5: Solve for x
    x = 4,260,501.23/3,426.09
  6. Step 6: Final answer
    x = 1,243.55

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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.