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Finding the Fourth Proportional to 3,647,966.56, 5,472,537.84 and 1,123,620.64

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Solution

The fourth proportional to 3,647,966.56, 5,472,537.84 and 1,123,620.64 is: 1,685,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,966.56 : 5,472,537.84 = 1,123,620.64 : x
  2. Step 2: Convert to fraction form
    3,647,966.56/5,472,537.84 = 1,123,620.64/x
  3. Step 3: Cross multiply
    3,647,966.56x = 5,472,537.84 × 1,123,620.64
  4. Step 4: Simplify right side
    3,647,966.56x = 6,149,056,470,205.02
  5. Step 5: Solve for x
    x = 6,149,056,470,205.02/3,647,966.56
  6. Step 6: Final answer
    x = 1,685,612.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.