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Finding the Fourth Proportional to 3,581.96, 4,943.46 and 2,405.48

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Solution

The fourth proportional to 3,581.96, 4,943.46 and 2,405.48 is: 3,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.96 : 4,943.46 = 2,405.48 : x
  2. Step 2: Convert to fraction form
    3,581.96/4,943.46 = 2,405.48/x
  3. Step 3: Cross multiply
    3,581.96x = 4,943.46 × 2,405.48
  4. Step 4: Simplify right side
    3,581.96x = 11,891,394.16
  5. Step 5: Solve for x
    x = 11,891,394.16/3,581.96
  6. Step 6: Final answer
    x = 3,319.80

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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.