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Finding the Fourth Proportional to 5,116.62, 7,675.06 and 3,826.28

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Solution

The fourth proportional to 5,116.62, 7,675.06 and 3,826.28 is: 5,739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.62 : 7,675.06 = 3,826.28 : x
  2. Step 2: Convert to fraction form
    5,116.62/7,675.06 = 3,826.28/x
  3. Step 3: Cross multiply
    5,116.62x = 7,675.06 × 3,826.28
  4. Step 4: Simplify right side
    5,116.62x = 29,366,928.58
  5. Step 5: Solve for x
    x = 29,366,928.58/5,116.62
  6. Step 6: Final answer
    x = 5,739.52

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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.