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Finding the Fourth Proportional to 3,857.70, 5,324.15 and 2,365.35

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Solution

The fourth proportional to 3,857.70, 5,324.15 and 2,365.35 is: 3,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.70 : 5,324.15 = 2,365.35 : x
  2. Step 2: Convert to fraction form
    3,857.70/5,324.15 = 2,365.35/x
  3. Step 3: Cross multiply
    3,857.70x = 5,324.15 × 2,365.35
  4. Step 4: Simplify right side
    3,857.70x = 12,593,478.20
  5. Step 5: Solve for x
    x = 12,593,478.20/3,857.70
  6. Step 6: Final answer
    x = 3,264.50

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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.