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Finding the Fourth Proportional to 3,760.71, 5,641.07 and 1,295.49

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Solution

The fourth proportional to 3,760.71, 5,641.07 and 1,295.49 is: 1,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.71 : 5,641.07 = 1,295.49 : x
  2. Step 2: Convert to fraction form
    3,760.71/5,641.07 = 1,295.49/x
  3. Step 3: Cross multiply
    3,760.71x = 5,641.07 × 1,295.49
  4. Step 4: Simplify right side
    3,760.71x = 7,307,963.88
  5. Step 5: Solve for x
    x = 7,307,963.88/3,760.71
  6. Step 6: Final answer
    x = 1,943.24

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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.