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Finding the Fourth Proportional to 5,414.16, 7,470.24 and 3,056.31

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Solution

The fourth proportional to 5,414.16, 7,470.24 and 3,056.31 is: 4,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.16 : 7,470.24 = 3,056.31 : x
  2. Step 2: Convert to fraction form
    5,414.16/7,470.24 = 3,056.31/x
  3. Step 3: Cross multiply
    5,414.16x = 7,470.24 × 3,056.31
  4. Step 4: Simplify right side
    5,414.16x = 22,831,369.21
  5. Step 5: Solve for x
    x = 22,831,369.21/5,414.16
  6. Step 6: Final answer
    x = 4,216.97

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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.