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Finding the Fourth Proportional to 4,644.48, 6,411.87 and 3,579.92

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Solution

The fourth proportional to 4,644.48, 6,411.87 and 3,579.92 is: 4,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.48 : 6,411.87 = 3,579.92 : x
  2. Step 2: Convert to fraction form
    4,644.48/6,411.87 = 3,579.92/x
  3. Step 3: Cross multiply
    4,644.48x = 6,411.87 × 3,579.92
  4. Step 4: Simplify right side
    4,644.48x = 22,953,949.59
  5. Step 5: Solve for x
    x = 22,953,949.59/4,644.48
  6. Step 6: Final answer
    x = 4,942.20

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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.