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Finding the Fourth Proportional to 3,958.74, 5,462.46 and 2,364.90

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Solution

The fourth proportional to 3,958.74, 5,462.46 and 2,364.90 is: 3,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.74 : 5,462.46 = 2,364.90 : x
  2. Step 2: Convert to fraction form
    3,958.74/5,462.46 = 2,364.90/x
  3. Step 3: Cross multiply
    3,958.74x = 5,462.46 × 2,364.90
  4. Step 4: Simplify right side
    3,958.74x = 12,918,171.65
  5. Step 5: Solve for x
    x = 12,918,171.65/3,958.74
  6. Step 6: Final answer
    x = 3,263.20

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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.