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Finding the Fourth Proportional to 3,772.79, 5,657.75 and 2,040.47

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Solution

The fourth proportional to 3,772.79, 5,657.75 and 2,040.47 is: 3,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.79 : 5,657.75 = 2,040.47 : x
  2. Step 2: Convert to fraction form
    3,772.79/5,657.75 = 2,040.47/x
  3. Step 3: Cross multiply
    3,772.79x = 5,657.75 × 2,040.47
  4. Step 4: Simplify right side
    3,772.79x = 11,544,458.94
  5. Step 5: Solve for x
    x = 11,544,458.94/3,772.79
  6. Step 6: Final answer
    x = 3,059.93

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Why These Related Problems?

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