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Finding the Fourth Proportional to 3,760.64, 5,189.60 and 2,188.88

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Solution

The fourth proportional to 3,760.64, 5,189.60 and 2,188.88 is: 3,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.64 : 5,189.60 = 2,188.88 : x
  2. Step 2: Convert to fraction form
    3,760.64/5,189.60 = 2,188.88/x
  3. Step 3: Cross multiply
    3,760.64x = 5,189.60 × 2,188.88
  4. Step 4: Simplify right side
    3,760.64x = 11,359,411.65
  5. Step 5: Solve for x
    x = 11,359,411.65/3,760.64
  6. Step 6: Final answer
    x = 3,020.61

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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.