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Finding the Fourth Proportional to 4,517.30, 6,774.98 and 1,743.05

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Solution

The fourth proportional to 4,517.30, 6,774.98 and 1,743.05 is: 2,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.30 : 6,774.98 = 1,743.05 : x
  2. Step 2: Convert to fraction form
    4,517.30/6,774.98 = 1,743.05/x
  3. Step 3: Cross multiply
    4,517.30x = 6,774.98 × 1,743.05
  4. Step 4: Simplify right side
    4,517.30x = 11,809,137.11
  5. Step 5: Solve for x
    x = 11,809,137.11/4,517.30
  6. Step 6: Final answer
    x = 2,614.20

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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.