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Finding the Fourth Proportional to 5,664.35, 7,816.65 and 3,146.31

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Solution

The fourth proportional to 5,664.35, 7,816.65 and 3,146.31 is: 4,341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.35 : 7,816.65 = 3,146.31 : x
  2. Step 2: Convert to fraction form
    5,664.35/7,816.65 = 3,146.31/x
  3. Step 3: Cross multiply
    5,664.35x = 7,816.65 × 3,146.31
  4. Step 4: Simplify right side
    5,664.35x = 24,593,604.06
  5. Step 5: Solve for x
    x = 24,593,604.06/5,664.35
  6. Step 6: Final answer
    x = 4,341.83

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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.