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Finding the Fourth Proportional to 3,886.29, 5,328.21 and 3,816.29

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Solution

The fourth proportional to 3,886.29, 5,328.21 and 3,816.29 is: 5,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.29 : 5,328.21 = 3,816.29 : x
  2. Step 2: Convert to fraction form
    3,886.29/5,328.21 = 3,816.29/x
  3. Step 3: Cross multiply
    3,886.29x = 5,328.21 × 3,816.29
  4. Step 4: Simplify right side
    3,886.29x = 20,334,007.86
  5. Step 5: Solve for x
    x = 20,334,007.86/3,886.29
  6. Step 6: Final answer
    x = 5,232.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.