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Finding the Fourth Proportional to 6,134.74, 8,466.12 and 3,482.26

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Solution

The fourth proportional to 6,134.74, 8,466.12 and 3,482.26 is: 4,805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.74 : 8,466.12 = 3,482.26 : x
  2. Step 2: Convert to fraction form
    6,134.74/8,466.12 = 3,482.26/x
  3. Step 3: Cross multiply
    6,134.74x = 8,466.12 × 3,482.26
  4. Step 4: Simplify right side
    6,134.74x = 29,481,231.03
  5. Step 5: Solve for x
    x = 29,481,231.03/6,134.74
  6. Step 6: Final answer
    x = 4,805.62

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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.