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Finding the Fourth Proportional to 3,973.98, 5,961.26 and 1,052.25

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Solution

The fourth proportional to 3,973.98, 5,961.26 and 1,052.25 is: 1,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.98 : 5,961.26 = 1,052.25 : x
  2. Step 2: Convert to fraction form
    3,973.98/5,961.26 = 1,052.25/x
  3. Step 3: Cross multiply
    3,973.98x = 5,961.26 × 1,052.25
  4. Step 4: Simplify right side
    3,973.98x = 6,272,730.57
  5. Step 5: Solve for x
    x = 6,272,730.57/3,973.98
  6. Step 6: Final answer
    x = 1,578.45

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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.