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Finding the Fourth Proportional to 3,426.23, 4,720 and 3,259.48

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Solution

The fourth proportional to 3,426.23, 4,720 and 3,259.48 is: 4,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.23 : 4,720 = 3,259.48 : x
  2. Step 2: Convert to fraction form
    3,426.23/4,720 = 3,259.48/x
  3. Step 3: Cross multiply
    3,426.23x = 4,720 × 3,259.48
  4. Step 4: Simplify right side
    3,426.23x = 15,384,745.60
  5. Step 5: Solve for x
    x = 15,384,745.60/3,426.23
  6. Step 6: Final answer
    x = 4,490.28

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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.