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Finding the Fourth Proportional to 3,754.81, 5,628.44 and 1,287.95

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Solution

The fourth proportional to 3,754.81, 5,628.44 and 1,287.95 is: 1,930.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.81 : 5,628.44 = 1,287.95 : x
  2. Step 2: Convert to fraction form
    3,754.81/5,628.44 = 1,287.95/x
  3. Step 3: Cross multiply
    3,754.81x = 5,628.44 × 1,287.95
  4. Step 4: Simplify right side
    3,754.81x = 7,249,148.79
  5. Step 5: Solve for x
    x = 7,249,148.79/3,754.81
  6. Step 6: Final answer
    x = 1,930.63

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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.