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Finding the Fourth Proportional to 4,638.71, 6,401.50 and 2,649.27

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Solution

The fourth proportional to 4,638.71, 6,401.50 and 2,649.27 is: 3,656.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.71 : 6,401.50 = 2,649.27 : x
  2. Step 2: Convert to fraction form
    4,638.71/6,401.50 = 2,649.27/x
  3. Step 3: Cross multiply
    4,638.71x = 6,401.50 × 2,649.27
  4. Step 4: Simplify right side
    4,638.71x = 16,959,288.66
  5. Step 5: Solve for x
    x = 16,959,288.66/4,638.71
  6. Step 6: Final answer
    x = 3,656.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.