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Finding the Fourth Proportional to 5,798.70, 8,709.69 and 3,463.26

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Solution

The fourth proportional to 5,798.70, 8,709.69 and 3,463.26 is: 5,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.70 : 8,709.69 = 3,463.26 : x
  2. Step 2: Convert to fraction form
    5,798.70/8,709.69 = 3,463.26/x
  3. Step 3: Cross multiply
    5,798.70x = 8,709.69 × 3,463.26
  4. Step 4: Simplify right side
    5,798.70x = 30,163,920.99
  5. Step 5: Solve for x
    x = 30,163,920.99/5,798.70
  6. Step 6: Final answer
    x = 5,201.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.