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Finding the Fourth Proportional to 3,638.41, 5,017.03 and 2,457.43

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Solution

The fourth proportional to 3,638.41, 5,017.03 and 2,457.43 is: 3,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.41 : 5,017.03 = 2,457.43 : x
  2. Step 2: Convert to fraction form
    3,638.41/5,017.03 = 2,457.43/x
  3. Step 3: Cross multiply
    3,638.41x = 5,017.03 × 2,457.43
  4. Step 4: Simplify right side
    3,638.41x = 12,328,974.95
  5. Step 5: Solve for x
    x = 12,328,974.95/3,638.41
  6. Step 6: Final answer
    x = 3,388.57

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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.