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Finding the Fourth Proportional to 5,181.76, 7,769.94 and 2,710.60

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Solution

The fourth proportional to 5,181.76, 7,769.94 and 2,710.60 is: 4,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.76 : 7,769.94 = 2,710.60 : x
  2. Step 2: Convert to fraction form
    5,181.76/7,769.94 = 2,710.60/x
  3. Step 3: Cross multiply
    5,181.76x = 7,769.94 × 2,710.60
  4. Step 4: Simplify right side
    5,181.76x = 21,061,199.36
  5. Step 5: Solve for x
    x = 21,061,199.36/5,181.76
  6. Step 6: Final answer
    x = 4,064.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.