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Finding the Fourth Proportional to 3,617.49, 5,427.02 and 1,539.27

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Solution

The fourth proportional to 3,617.49, 5,427.02 and 1,539.27 is: 2,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.49 : 5,427.02 = 1,539.27 : x
  2. Step 2: Convert to fraction form
    3,617.49/5,427.02 = 1,539.27/x
  3. Step 3: Cross multiply
    3,617.49x = 5,427.02 × 1,539.27
  4. Step 4: Simplify right side
    3,617.49x = 8,353,649.08
  5. Step 5: Solve for x
    x = 8,353,649.08/3,617.49
  6. Step 6: Final answer
    x = 2,309.24

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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.