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Finding the Fourth Proportional to 6,130.82, 8,460.46 and 3,478.20

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Solution

The fourth proportional to 6,130.82, 8,460.46 and 3,478.20 is: 4,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.82 : 8,460.46 = 3,478.20 : x
  2. Step 2: Convert to fraction form
    6,130.82/8,460.46 = 3,478.20/x
  3. Step 3: Cross multiply
    6,130.82x = 8,460.46 × 3,478.20
  4. Step 4: Simplify right side
    6,130.82x = 29,427,171.97
  5. Step 5: Solve for x
    x = 29,427,171.97/6,130.82
  6. Step 6: Final answer
    x = 4,799.88

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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.