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Finding the Fourth Proportional to 4,114.55, 6,172.00 and 3,426.08

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Solution

The fourth proportional to 4,114.55, 6,172.00 and 3,426.08 is: 5,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.55 : 6,172.00 = 3,426.08 : x
  2. Step 2: Convert to fraction form
    4,114.55/6,172.00 = 3,426.08/x
  3. Step 3: Cross multiply
    4,114.55x = 6,172.00 × 3,426.08
  4. Step 4: Simplify right side
    4,114.55x = 21,145,726.33
  5. Step 5: Solve for x
    x = 21,145,726.33/4,114.55
  6. Step 6: Final answer
    x = 5,139.25

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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.