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Finding the Fourth Proportional to 6,131.14, 8,460.90 and 3,478.60

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Solution

The fourth proportional to 6,131.14, 8,460.90 and 3,478.60 is: 4,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.14 : 8,460.90 = 3,478.60 : x
  2. Step 2: Convert to fraction form
    6,131.14/8,460.90 = 3,478.60/x
  3. Step 3: Cross multiply
    6,131.14x = 8,460.90 × 3,478.60
  4. Step 4: Simplify right side
    6,131.14x = 29,432,086.74
  5. Step 5: Solve for x
    x = 29,432,086.74/6,131.14
  6. Step 6: Final answer
    x = 4,800.43

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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.