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Finding the Fourth Proportional to 3,980.49, 5,492.93 and 2,302.44

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Solution

The fourth proportional to 3,980.49, 5,492.93 and 2,302.44 is: 3,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.49 : 5,492.93 = 2,302.44 : x
  2. Step 2: Convert to fraction form
    3,980.49/5,492.93 = 2,302.44/x
  3. Step 3: Cross multiply
    3,980.49x = 5,492.93 × 2,302.44
  4. Step 4: Simplify right side
    3,980.49x = 12,647,130.24
  5. Step 5: Solve for x
    x = 12,647,130.24/3,980.49
  6. Step 6: Final answer
    x = 3,177.28

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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.