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Finding the Fourth Proportional to 5,798.30, 7,999.17 and 3,911.10

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Solution

The fourth proportional to 5,798.30, 7,999.17 and 3,911.10 is: 5,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.30 : 7,999.17 = 3,911.10 : x
  2. Step 2: Convert to fraction form
    5,798.30/7,999.17 = 3,911.10/x
  3. Step 3: Cross multiply
    5,798.30x = 7,999.17 × 3,911.10
  4. Step 4: Simplify right side
    5,798.30x = 31,285,553.79
  5. Step 5: Solve for x
    x = 31,285,553.79/5,798.30
  6. Step 6: Final answer
    x = 5,395.64

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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.