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Finding the Fourth Proportional to 5,806.85, 8,013.46 and 3,154.25

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Solution

The fourth proportional to 5,806.85, 8,013.46 and 3,154.25 is: 4,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.85 : 8,013.46 = 3,154.25 : x
  2. Step 2: Convert to fraction form
    5,806.85/8,013.46 = 3,154.25/x
  3. Step 3: Cross multiply
    5,806.85x = 8,013.46 × 3,154.25
  4. Step 4: Simplify right side
    5,806.85x = 25,276,476.66
  5. Step 5: Solve for x
    x = 25,276,476.66/5,806.85
  6. Step 6: Final answer
    x = 4,352.88

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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.