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Finding the Fourth Proportional to 5,717.62, 7,889.70 and 3,359.80

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Solution

The fourth proportional to 5,717.62, 7,889.70 and 3,359.80 is: 4,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.62 : 7,889.70 = 3,359.80 : x
  2. Step 2: Convert to fraction form
    5,717.62/7,889.70 = 3,359.80/x
  3. Step 3: Cross multiply
    5,717.62x = 7,889.70 × 3,359.80
  4. Step 4: Simplify right side
    5,717.62x = 26,507,814.06
  5. Step 5: Solve for x
    x = 26,507,814.06/5,717.62
  6. Step 6: Final answer
    x = 4,636.16

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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.