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Finding the Fourth Proportional to 3,357.81, 5,034.75 and 1,277.97

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Solution

The fourth proportional to 3,357.81, 5,034.75 and 1,277.97 is: 1,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.81 : 5,034.75 = 1,277.97 : x
  2. Step 2: Convert to fraction form
    3,357.81/5,034.75 = 1,277.97/x
  3. Step 3: Cross multiply
    3,357.81x = 5,034.75 × 1,277.97
  4. Step 4: Simplify right side
    3,357.81x = 6,434,235.78
  5. Step 5: Solve for x
    x = 6,434,235.78/3,357.81
  6. Step 6: Final answer
    x = 1,916.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.