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Finding the Fourth Proportional to 5,715.84, 7,889.40 and 3,359.56

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Solution

The fourth proportional to 5,715.84, 7,889.40 and 3,359.56 is: 4,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.84 : 7,889.40 = 3,359.56 : x
  2. Step 2: Convert to fraction form
    5,715.84/7,889.40 = 3,359.56/x
  3. Step 3: Cross multiply
    5,715.84x = 7,889.40 × 3,359.56
  4. Step 4: Simplify right side
    5,715.84x = 26,504,912.66
  5. Step 5: Solve for x
    x = 26,504,912.66/5,715.84
  6. Step 6: Final answer
    x = 4,637.10

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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.