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Finding the Fourth Proportional to 3,964.90, 5,474.25 and 3,543.91

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Solution

The fourth proportional to 3,964.90, 5,474.25 and 3,543.91 is: 4,893.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.90 : 5,474.25 = 3,543.91 : x
  2. Step 2: Convert to fraction form
    3,964.90/5,474.25 = 3,543.91/x
  3. Step 3: Cross multiply
    3,964.90x = 5,474.25 × 3,543.91
  4. Step 4: Simplify right side
    3,964.90x = 19,400,249.32
  5. Step 5: Solve for x
    x = 19,400,249.32/3,964.90
  6. Step 6: Final answer
    x = 4,893.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.