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Finding the Fourth Proportional to 3,581.94, 5,372.70 and 1,826.40

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Solution

The fourth proportional to 3,581.94, 5,372.70 and 1,826.40 is: 2,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.94 : 5,372.70 = 1,826.40 : x
  2. Step 2: Convert to fraction form
    3,581.94/5,372.70 = 1,826.40/x
  3. Step 3: Cross multiply
    3,581.94x = 5,372.70 × 1,826.40
  4. Step 4: Simplify right side
    3,581.94x = 9,812,699.28
  5. Step 5: Solve for x
    x = 9,812,699.28/3,581.94
  6. Step 6: Final answer
    x = 2,739.49

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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.