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Finding the Fourth Proportional to 5,381.50, 7,424.22 and 3,886.14

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Solution

The fourth proportional to 5,381.50, 7,424.22 and 3,886.14 is: 5,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.50 : 7,424.22 = 3,886.14 : x
  2. Step 2: Convert to fraction form
    5,381.50/7,424.22 = 3,886.14/x
  3. Step 3: Cross multiply
    5,381.50x = 7,424.22 × 3,886.14
  4. Step 4: Simplify right side
    5,381.50x = 28,851,558.31
  5. Step 5: Solve for x
    x = 28,851,558.31/5,381.50
  6. Step 6: Final answer
    x = 5,361.25

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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.