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Finding the Fourth Proportional to 5,754.85, 8,634.70 and 3,419.31

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Solution

The fourth proportional to 5,754.85, 8,634.70 and 3,419.31 is: 5,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.85 : 8,634.70 = 3,419.31 : x
  2. Step 2: Convert to fraction form
    5,754.85/8,634.70 = 3,419.31/x
  3. Step 3: Cross multiply
    5,754.85x = 8,634.70 × 3,419.31
  4. Step 4: Simplify right side
    5,754.85x = 29,524,752.71
  5. Step 5: Solve for x
    x = 29,524,752.71/5,754.85
  6. Step 6: Final answer
    x = 5,130.41

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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.