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Finding the Fourth Proportional to 3,086.76, 4,630.14 and 1,355.25

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Solution

The fourth proportional to 3,086.76, 4,630.14 and 1,355.25 is: 2,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.76 : 4,630.14 = 1,355.25 : x
  2. Step 2: Convert to fraction form
    3,086.76/4,630.14 = 1,355.25/x
  3. Step 3: Cross multiply
    3,086.76x = 4,630.14 × 1,355.25
  4. Step 4: Simplify right side
    3,086.76x = 6,274,997.24
  5. Step 5: Solve for x
    x = 6,274,997.24/3,086.76
  6. Step 6: Final answer
    x = 2,032.88

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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.