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Finding the Fourth Proportional to 4,638.66, 6,401.81 and 2,649.52

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Solution

The fourth proportional to 4,638.66, 6,401.81 and 2,649.52 is: 3,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.66 : 6,401.81 = 2,649.52 : x
  2. Step 2: Convert to fraction form
    4,638.66/6,401.81 = 2,649.52/x
  3. Step 3: Cross multiply
    4,638.66x = 6,401.81 × 2,649.52
  4. Step 4: Simplify right side
    4,638.66x = 16,961,723.63
  5. Step 5: Solve for x
    x = 16,961,723.63/4,638.66
  6. Step 6: Final answer
    x = 3,656.60

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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.