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Finding the Fourth Proportional to 3,805.16, 5,252.10 and 2,408.68

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Solution

The fourth proportional to 3,805.16, 5,252.10 and 2,408.68 is: 3,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.16 : 5,252.10 = 2,408.68 : x
  2. Step 2: Convert to fraction form
    3,805.16/5,252.10 = 2,408.68/x
  3. Step 3: Cross multiply
    3,805.16x = 5,252.10 × 2,408.68
  4. Step 4: Simplify right side
    3,805.16x = 12,650,628.23
  5. Step 5: Solve for x
    x = 12,650,628.23/3,805.16
  6. Step 6: Final answer
    x = 3,324.60

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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.