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Finding the Fourth Proportional to 3,760.98, 5,188.47 and 2,267.94

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Solution

The fourth proportional to 3,760.98, 5,188.47 and 2,267.94 is: 3,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.98 : 5,188.47 = 2,267.94 : x
  2. Step 2: Convert to fraction form
    3,760.98/5,188.47 = 2,267.94/x
  3. Step 3: Cross multiply
    3,760.98x = 5,188.47 × 2,267.94
  4. Step 4: Simplify right side
    3,760.98x = 11,767,138.65
  5. Step 5: Solve for x
    x = 11,767,138.65/3,760.98
  6. Step 6: Final answer
    x = 3,128.74

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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.