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Finding the Fourth Proportional to 6,131.30, 8,459.78 and 3,478.44

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Solution

The fourth proportional to 6,131.30, 8,459.78 and 3,478.44 is: 4,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.30 : 8,459.78 = 3,478.44 : x
  2. Step 2: Convert to fraction form
    6,131.30/8,459.78 = 3,478.44/x
  3. Step 3: Cross multiply
    6,131.30x = 8,459.78 × 3,478.44
  4. Step 4: Simplify right side
    6,131.30x = 29,426,837.14
  5. Step 5: Solve for x
    x = 29,426,837.14/6,131.30
  6. Step 6: Final answer
    x = 4,799.45

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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.