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Finding the Fourth Proportional to 3,530.45, 4,871.82 and 1,958.44

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Solution

The fourth proportional to 3,530.45, 4,871.82 and 1,958.44 is: 2,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.45 : 4,871.82 = 1,958.44 : x
  2. Step 2: Convert to fraction form
    3,530.45/4,871.82 = 1,958.44/x
  3. Step 3: Cross multiply
    3,530.45x = 4,871.82 × 1,958.44
  4. Step 4: Simplify right side
    3,530.45x = 9,541,154.98
  5. Step 5: Solve for x
    x = 9,541,154.98/3,530.45
  6. Step 6: Final answer
    x = 2,702.54

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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.