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Finding the Fourth Proportional to 3,841.04, 5,758.68 and 1,989.68

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Solution

The fourth proportional to 3,841.04, 5,758.68 and 1,989.68 is: 2,983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.04 : 5,758.68 = 1,989.68 : x
  2. Step 2: Convert to fraction form
    3,841.04/5,758.68 = 1,989.68/x
  3. Step 3: Cross multiply
    3,841.04x = 5,758.68 × 1,989.68
  4. Step 4: Simplify right side
    3,841.04x = 11,457,930.42
  5. Step 5: Solve for x
    x = 11,457,930.42/3,841.04
  6. Step 6: Final answer
    x = 2,983.03

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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.