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Finding the Fourth Proportional to 4,936.19, 7,404.30 and 1,649.25

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Solution

The fourth proportional to 4,936.19, 7,404.30 and 1,649.25 is: 2,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.19 : 7,404.30 = 1,649.25 : x
  2. Step 2: Convert to fraction form
    4,936.19/7,404.30 = 1,649.25/x
  3. Step 3: Cross multiply
    4,936.19x = 7,404.30 × 1,649.25
  4. Step 4: Simplify right side
    4,936.19x = 12,211,541.78
  5. Step 5: Solve for x
    x = 12,211,541.78/4,936.19
  6. Step 6: Final answer
    x = 2,473.88

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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.