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Finding the Fourth Proportional to 2,735.73, 3,775.39 and 1,586.14

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Solution

The fourth proportional to 2,735.73, 3,775.39 and 1,586.14 is: 2,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.73 : 3,775.39 = 1,586.14 : x
  2. Step 2: Convert to fraction form
    2,735.73/3,775.39 = 1,586.14/x
  3. Step 3: Cross multiply
    2,735.73x = 3,775.39 × 1,586.14
  4. Step 4: Simplify right side
    2,735.73x = 5,988,283.69
  5. Step 5: Solve for x
    x = 5,988,283.69/2,735.73
  6. Step 6: Final answer
    x = 2,188.92

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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.