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Finding the Fourth Proportional to 3,760.68, 5,189.58 and 2,364.36

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Solution

The fourth proportional to 3,760.68, 5,189.58 and 2,364.36 is: 3,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.68 : 5,189.58 = 2,364.36 : x
  2. Step 2: Convert to fraction form
    3,760.68/5,189.58 = 2,364.36/x
  3. Step 3: Cross multiply
    3,760.68x = 5,189.58 × 2,364.36
  4. Step 4: Simplify right side
    3,760.68x = 12,270,035.37
  5. Step 5: Solve for x
    x = 12,270,035.37/3,760.68
  6. Step 6: Final answer
    x = 3,262.72

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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.