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Finding the Fourth Proportional to 3,865.32, 5,822.28 and 3,814.29

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Solution

The fourth proportional to 3,865.32, 5,822.28 and 3,814.29 is: 5,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.32 : 5,822.28 = 3,814.29 : x
  2. Step 2: Convert to fraction form
    3,865.32/5,822.28 = 3,814.29/x
  3. Step 3: Cross multiply
    3,865.32x = 5,822.28 × 3,814.29
  4. Step 4: Simplify right side
    3,865.32x = 22,207,864.38
  5. Step 5: Solve for x
    x = 22,207,864.38/3,865.32
  6. Step 6: Final answer
    x = 5,745.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.