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Finding the Fourth Proportional to 5,798.71, 8,000.13 and 3,440.80

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Solution

The fourth proportional to 5,798.71, 8,000.13 and 3,440.80 is: 4,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.71 : 8,000.13 = 3,440.80 : x
  2. Step 2: Convert to fraction form
    5,798.71/8,000.13 = 3,440.80/x
  3. Step 3: Cross multiply
    5,798.71x = 8,000.13 × 3,440.80
  4. Step 4: Simplify right side
    5,798.71x = 27,526,847.30
  5. Step 5: Solve for x
    x = 27,526,847.30/5,798.71
  6. Step 6: Final answer
    x = 4,747.06

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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.