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Finding the Fourth Proportional to 3,709.63, 5,563.05 and 1,517.19

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Solution

The fourth proportional to 3,709.63, 5,563.05 and 1,517.19 is: 2,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.63 : 5,563.05 = 1,517.19 : x
  2. Step 2: Convert to fraction form
    3,709.63/5,563.05 = 1,517.19/x
  3. Step 3: Cross multiply
    3,709.63x = 5,563.05 × 1,517.19
  4. Step 4: Simplify right side
    3,709.63x = 8,440,203.83
  5. Step 5: Solve for x
    x = 8,440,203.83/3,709.63
  6. Step 6: Final answer
    x = 2,275.21

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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.