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Finding the Fourth Proportional to 5,717.40, 7,883.10 and 3,946.20

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Solution

The fourth proportional to 5,717.40, 7,883.10 and 3,946.20 is: 5,440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.40 : 7,883.10 = 3,946.20 : x
  2. Step 2: Convert to fraction form
    5,717.40/7,883.10 = 3,946.20/x
  3. Step 3: Cross multiply
    5,717.40x = 7,883.10 × 3,946.20
  4. Step 4: Simplify right side
    5,717.40x = 31,108,289.22
  5. Step 5: Solve for x
    x = 31,108,289.22/5,717.40
  6. Step 6: Final answer
    x = 5,440.99

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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.