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Finding the Fourth Proportional to 3,962.72, 5,943.63 and 1,041.25

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Solution

The fourth proportional to 3,962.72, 5,943.63 and 1,041.25 is: 1,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.72 : 5,943.63 = 1,041.25 : x
  2. Step 2: Convert to fraction form
    3,962.72/5,943.63 = 1,041.25/x
  3. Step 3: Cross multiply
    3,962.72x = 5,943.63 × 1,041.25
  4. Step 4: Simplify right side
    3,962.72x = 6,188,804.74
  5. Step 5: Solve for x
    x = 6,188,804.74/3,962.72
  6. Step 6: Final answer
    x = 1,561.76

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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.