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Finding the Fourth Proportional to 3,917.56, 5,405.22 and 2,426.20

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Solution

The fourth proportional to 3,917.56, 5,405.22 and 2,426.20 is: 3,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.56 : 5,405.22 = 2,426.20 : x
  2. Step 2: Convert to fraction form
    3,917.56/5,405.22 = 2,426.20/x
  3. Step 3: Cross multiply
    3,917.56x = 5,405.22 × 2,426.20
  4. Step 4: Simplify right side
    3,917.56x = 13,114,144.76
  5. Step 5: Solve for x
    x = 13,114,144.76/3,917.56
  6. Step 6: Final answer
    x = 3,347.53

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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.