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Finding the Fourth Proportional to 6,131.22, 8,460.84 and 3,478.58

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Solution

The fourth proportional to 6,131.22, 8,460.84 and 3,478.58 is: 4,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.22 : 8,460.84 = 3,478.58 : x
  2. Step 2: Convert to fraction form
    6,131.22/8,460.84 = 3,478.58/x
  3. Step 3: Cross multiply
    6,131.22x = 8,460.84 × 3,478.58
  4. Step 4: Simplify right side
    6,131.22x = 29,431,649.11
  5. Step 5: Solve for x
    x = 29,431,649.11/6,131.22
  6. Step 6: Final answer
    x = 4,800.29

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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.