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Finding the Fourth Proportional to 3,649.63, 5,474.97 and 1,458.18

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Solution

The fourth proportional to 3,649.63, 5,474.97 and 1,458.18 is: 2,187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.63 : 5,474.97 = 1,458.18 : x
  2. Step 2: Convert to fraction form
    3,649.63/5,474.97 = 1,458.18/x
  3. Step 3: Cross multiply
    3,649.63x = 5,474.97 × 1,458.18
  4. Step 4: Simplify right side
    3,649.63x = 7,983,491.75
  5. Step 5: Solve for x
    x = 7,983,491.75/3,649.63
  6. Step 6: Final answer
    x = 2,187.48

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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.