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Finding the Fourth Proportional to 3,747.76, 5,171.88 and 2,176

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Solution

The fourth proportional to 3,747.76, 5,171.88 and 2,176 is: 3,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.76 : 5,171.88 = 2,176 : x
  2. Step 2: Convert to fraction form
    3,747.76/5,171.88 = 2,176/x
  3. Step 3: Cross multiply
    3,747.76x = 5,171.88 × 2,176
  4. Step 4: Simplify right side
    3,747.76x = 11,254,010.88
  5. Step 5: Solve for x
    x = 11,254,010.88/3,747.76
  6. Step 6: Final answer
    x = 3,002.86

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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.