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Finding the Fourth Proportional to 3,775.94, 5,211.06 and 2,283.92

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Solution

The fourth proportional to 3,775.94, 5,211.06 and 2,283.92 is: 3,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.94 : 5,211.06 = 2,283.92 : x
  2. Step 2: Convert to fraction form
    3,775.94/5,211.06 = 2,283.92/x
  3. Step 3: Cross multiply
    3,775.94x = 5,211.06 × 2,283.92
  4. Step 4: Simplify right side
    3,775.94x = 11,901,644.16
  5. Step 5: Solve for x
    x = 11,901,644.16/3,775.94
  6. Step 6: Final answer
    x = 3,151.97

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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.