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Finding the Fourth Proportional to 5,664.16, 7,816.31 and 3,146.43

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Solution

The fourth proportional to 5,664.16, 7,816.31 and 3,146.43 is: 4,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.16 : 7,816.31 = 3,146.43 : x
  2. Step 2: Convert to fraction form
    5,664.16/7,816.31 = 3,146.43/x
  3. Step 3: Cross multiply
    5,664.16x = 7,816.31 × 3,146.43
  4. Step 4: Simplify right side
    5,664.16x = 24,593,471.38
  5. Step 5: Solve for x
    x = 24,593,471.38/5,664.16
  6. Step 6: Final answer
    x = 4,341.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.