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Finding the Fourth Proportional to 3,857.35, 5,324.14 and 2,264.21

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Solution

The fourth proportional to 3,857.35, 5,324.14 and 2,264.21 is: 3,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.35 : 5,324.14 = 2,264.21 : x
  2. Step 2: Convert to fraction form
    3,857.35/5,324.14 = 2,264.21/x
  3. Step 3: Cross multiply
    3,857.35x = 5,324.14 × 2,264.21
  4. Step 4: Simplify right side
    3,857.35x = 12,054,971.03
  5. Step 5: Solve for x
    x = 12,054,971.03/3,857.35
  6. Step 6: Final answer
    x = 3,125.20

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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.