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Finding the Fourth Proportional to 5,719.88, 7,892.70 and 3,361.16

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Solution

The fourth proportional to 5,719.88, 7,892.70 and 3,361.16 is: 4,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.88 : 7,892.70 = 3,361.16 : x
  2. Step 2: Convert to fraction form
    5,719.88/7,892.70 = 3,361.16/x
  3. Step 3: Cross multiply
    5,719.88x = 7,892.70 × 3,361.16
  4. Step 4: Simplify right side
    5,719.88x = 26,528,627.53
  5. Step 5: Solve for x
    x = 26,528,627.53/5,719.88
  6. Step 6: Final answer
    x = 4,637.97

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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.