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Finding the Fourth Proportional to 3,644.22, 5,463.22 and 1,669.19

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Solution

The fourth proportional to 3,644.22, 5,463.22 and 1,669.19 is: 2,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.22 : 5,463.22 = 1,669.19 : x
  2. Step 2: Convert to fraction form
    3,644.22/5,463.22 = 1,669.19/x
  3. Step 3: Cross multiply
    3,644.22x = 5,463.22 × 1,669.19
  4. Step 4: Simplify right side
    3,644.22x = 9,119,123.36
  5. Step 5: Solve for x
    x = 9,119,123.36/3,644.22
  6. Step 6: Final answer
    x = 2,502.35

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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.