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Finding the Fourth Proportional to 4,112.60, 5,674.20 and 2,541.20

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Solution

The fourth proportional to 4,112.60, 5,674.20 and 2,541.20 is: 3,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.60 : 5,674.20 = 2,541.20 : x
  2. Step 2: Convert to fraction form
    4,112.60/5,674.20 = 2,541.20/x
  3. Step 3: Cross multiply
    4,112.60x = 5,674.20 × 2,541.20
  4. Step 4: Simplify right side
    4,112.60x = 14,419,277.04
  5. Step 5: Solve for x
    x = 14,419,277.04/4,112.60
  6. Step 6: Final answer
    x = 3,506.12

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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.