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Finding the Fourth Proportional to 4,649.00, 6,974.37 and 1,727.51

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Solution

The fourth proportional to 4,649.00, 6,974.37 and 1,727.51 is: 2,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.00 : 6,974.37 = 1,727.51 : x
  2. Step 2: Convert to fraction form
    4,649.00/6,974.37 = 1,727.51/x
  3. Step 3: Cross multiply
    4,649.00x = 6,974.37 × 1,727.51
  4. Step 4: Simplify right side
    4,649.00x = 12,048,259.05
  5. Step 5: Solve for x
    x = 12,048,259.05/4,649.00
  6. Step 6: Final answer
    x = 2,591.58

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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.