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Finding the Fourth Proportional to 3,980.34, 5,965.47 and 2,885.22

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Solution

The fourth proportional to 3,980.34, 5,965.47 and 2,885.22 is: 4,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.34 : 5,965.47 = 2,885.22 : x
  2. Step 2: Convert to fraction form
    3,980.34/5,965.47 = 2,885.22/x
  3. Step 3: Cross multiply
    3,980.34x = 5,965.47 × 2,885.22
  4. Step 4: Simplify right side
    3,980.34x = 17,211,693.35
  5. Step 5: Solve for x
    x = 17,211,693.35/3,980.34
  6. Step 6: Final answer
    x = 4,324.18

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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.