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Finding the Fourth Proportional to 5,116.56, 7,059.60 and 2,878

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Solution

The fourth proportional to 5,116.56, 7,059.60 and 2,878 is: 3,970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.56 : 7,059.60 = 2,878 : x
  2. Step 2: Convert to fraction form
    5,116.56/7,059.60 = 2,878/x
  3. Step 3: Cross multiply
    5,116.56x = 7,059.60 × 2,878
  4. Step 4: Simplify right side
    5,116.56x = 20,317,528.80
  5. Step 5: Solve for x
    x = 20,317,528.80/5,116.56
  6. Step 6: Final answer
    x = 3,970.94

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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.