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Finding the Fourth Proportional to 3,965.44, 5,948.21 and 1,885.65

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Solution

The fourth proportional to 3,965.44, 5,948.21 and 1,885.65 is: 2,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.44 : 5,948.21 = 1,885.65 : x
  2. Step 2: Convert to fraction form
    3,965.44/5,948.21 = 1,885.65/x
  3. Step 3: Cross multiply
    3,965.44x = 5,948.21 × 1,885.65
  4. Step 4: Simplify right side
    3,965.44x = 11,216,203.02
  5. Step 5: Solve for x
    x = 11,216,203.02/3,965.44
  6. Step 6: Final answer
    x = 2,828.49

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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.