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Finding the Fourth Proportional to 3,086.96, 4,640.47 and 2,477.34

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Solution

The fourth proportional to 3,086.96, 4,640.47 and 2,477.34 is: 3,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.96 : 4,640.47 = 2,477.34 : x
  2. Step 2: Convert to fraction form
    3,086.96/4,640.47 = 2,477.34/x
  3. Step 3: Cross multiply
    3,086.96x = 4,640.47 × 2,477.34
  4. Step 4: Simplify right side
    3,086.96x = 11,496,015.76
  5. Step 5: Solve for x
    x = 11,496,015.76/3,086.96
  6. Step 6: Final answer
    x = 3,724.06

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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.