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Finding the Fourth Proportional to 5,664.15, 7,816.79 and 3,146.27

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Solution

The fourth proportional to 5,664.15, 7,816.79 and 3,146.27 is: 4,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.15 : 7,816.79 = 3,146.27 : x
  2. Step 2: Convert to fraction form
    5,664.15/7,816.79 = 3,146.27/x
  3. Step 3: Cross multiply
    5,664.15x = 7,816.79 × 3,146.27
  4. Step 4: Simplify right side
    5,664.15x = 24,593,700.66
  5. Step 5: Solve for x
    x = 24,593,700.66/5,664.15
  6. Step 6: Final answer
    x = 4,341.99

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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.