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Finding the Fourth Proportional to 3,461.60, 5,194.79 and 1,382.03

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Solution

The fourth proportional to 3,461.60, 5,194.79 and 1,382.03 is: 2,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.60 : 5,194.79 = 1,382.03 : x
  2. Step 2: Convert to fraction form
    3,461.60/5,194.79 = 1,382.03/x
  3. Step 3: Cross multiply
    3,461.60x = 5,194.79 × 1,382.03
  4. Step 4: Simplify right side
    3,461.60x = 7,179,322.74
  5. Step 5: Solve for x
    x = 7,179,322.74/3,461.60
  6. Step 6: Final answer
    x = 2,073.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.