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Finding the Fourth Proportional to 3,649.02, 5,473.48 and 1,674.09

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Solution

The fourth proportional to 3,649.02, 5,473.48 and 1,674.09 is: 2,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.02 : 5,473.48 = 1,674.09 : x
  2. Step 2: Convert to fraction form
    3,649.02/5,473.48 = 1,674.09/x
  3. Step 3: Cross multiply
    3,649.02x = 5,473.48 × 1,674.09
  4. Step 4: Simplify right side
    3,649.02x = 9,163,098.13
  5. Step 5: Solve for x
    x = 9,163,098.13/3,649.02
  6. Step 6: Final answer
    x = 2,511.11

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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.