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Finding the Fourth Proportional to 3,961.98, 5,948.64 and 3,524.58

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Solution

The fourth proportional to 3,961.98, 5,948.64 and 3,524.58 is: 5,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.98 : 5,948.64 = 3,524.58 : x
  2. Step 2: Convert to fraction form
    3,961.98/5,948.64 = 3,524.58/x
  3. Step 3: Cross multiply
    3,961.98x = 5,948.64 × 3,524.58
  4. Step 4: Simplify right side
    3,961.98x = 20,966,457.57
  5. Step 5: Solve for x
    x = 20,966,457.57/3,961.98
  6. Step 6: Final answer
    x = 5,291.91

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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.