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Finding the Fourth Proportional to 3,977.09, 5,492.46 and 2,980.79

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Solution

The fourth proportional to 3,977.09, 5,492.46 and 2,980.79 is: 4,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.09 : 5,492.46 = 2,980.79 : x
  2. Step 2: Convert to fraction form
    3,977.09/5,492.46 = 2,980.79/x
  3. Step 3: Cross multiply
    3,977.09x = 5,492.46 × 2,980.79
  4. Step 4: Simplify right side
    3,977.09x = 16,371,827.48
  5. Step 5: Solve for x
    x = 16,371,827.48/3,977.09
  6. Step 6: Final answer
    x = 4,116.54

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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.