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Finding the Fourth Proportional to 3,707.56, 5,563.74 and 3,410.92

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Solution

The fourth proportional to 3,707.56, 5,563.74 and 3,410.92 is: 5,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.56 : 5,563.74 = 3,410.92 : x
  2. Step 2: Convert to fraction form
    3,707.56/5,563.74 = 3,410.92/x
  3. Step 3: Cross multiply
    3,707.56x = 5,563.74 × 3,410.92
  4. Step 4: Simplify right side
    3,707.56x = 18,977,472.04
  5. Step 5: Solve for x
    x = 18,977,472.04/3,707.56
  6. Step 6: Final answer
    x = 5,118.59

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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.