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Finding the Fourth Proportional to 3,864.36, 5,792.22 and 1,669.80

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Solution

The fourth proportional to 3,864.36, 5,792.22 and 1,669.80 is: 2,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.36 : 5,792.22 = 1,669.80 : x
  2. Step 2: Convert to fraction form
    3,864.36/5,792.22 = 1,669.80/x
  3. Step 3: Cross multiply
    3,864.36x = 5,792.22 × 1,669.80
  4. Step 4: Simplify right side
    3,864.36x = 9,671,848.96
  5. Step 5: Solve for x
    x = 9,671,848.96/3,864.36
  6. Step 6: Final answer
    x = 2,502.83

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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.