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Finding the Fourth Proportional to 4,858.92, 6,700.14 and 3,181.80

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Solution

The fourth proportional to 4,858.92, 6,700.14 and 3,181.80 is: 4,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.92 : 6,700.14 = 3,181.80 : x
  2. Step 2: Convert to fraction form
    4,858.92/6,700.14 = 3,181.80/x
  3. Step 3: Cross multiply
    4,858.92x = 6,700.14 × 3,181.80
  4. Step 4: Simplify right side
    4,858.92x = 21,318,505.45
  5. Step 5: Solve for x
    x = 21,318,505.45/4,858.92
  6. Step 6: Final answer
    x = 4,387.50

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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.