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Finding the Fourth Proportional to 3,980.84, 5,491.85 and 2,486.16

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Solution

The fourth proportional to 3,980.84, 5,491.85 and 2,486.16 is: 3,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.84 : 5,491.85 = 2,486.16 : x
  2. Step 2: Convert to fraction form
    3,980.84/5,491.85 = 2,486.16/x
  3. Step 3: Cross multiply
    3,980.84x = 5,491.85 × 2,486.16
  4. Step 4: Simplify right side
    3,980.84x = 13,653,617.80
  5. Step 5: Solve for x
    x = 13,653,617.80/3,980.84
  6. Step 6: Final answer
    x = 3,429.83

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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.