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Finding the Fourth Proportional to 4,638.42, 6,401.52 and 2,649.42

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Solution

The fourth proportional to 4,638.42, 6,401.52 and 2,649.42 is: 3,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.42 : 6,401.52 = 2,649.42 : x
  2. Step 2: Convert to fraction form
    4,638.42/6,401.52 = 2,649.42/x
  3. Step 3: Cross multiply
    4,638.42x = 6,401.52 × 2,649.42
  4. Step 4: Simplify right side
    4,638.42x = 16,960,315.12
  5. Step 5: Solve for x
    x = 16,960,315.12/4,638.42
  6. Step 6: Final answer
    x = 3,656.49

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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.