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Finding the Fourth Proportional to 3,426.13, 5,139.18 and 829.07

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Solution

The fourth proportional to 3,426.13, 5,139.18 and 829.07 is: 1,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.13 : 5,139.18 = 829.07 : x
  2. Step 2: Convert to fraction form
    3,426.13/5,139.18 = 829.07/x
  3. Step 3: Cross multiply
    3,426.13x = 5,139.18 × 829.07
  4. Step 4: Simplify right side
    3,426.13x = 4,260,739.96
  5. Step 5: Solve for x
    x = 4,260,739.96/3,426.13
  6. Step 6: Final answer
    x = 1,243.60

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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.