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Finding the Fourth Proportional to 3,973.73, 5,959.91 and 1,052.33

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Solution

The fourth proportional to 3,973.73, 5,959.91 and 1,052.33 is: 1,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.73 : 5,959.91 = 1,052.33 : x
  2. Step 2: Convert to fraction form
    3,973.73/5,959.91 = 1,052.33/x
  3. Step 3: Cross multiply
    3,973.73x = 5,959.91 × 1,052.33
  4. Step 4: Simplify right side
    3,973.73x = 6,271,792.09
  5. Step 5: Solve for x
    x = 6,271,792.09/3,973.73
  6. Step 6: Final answer
    x = 1,578.31

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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.