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Finding the Fourth Proportional to 3,664, 5,058.62 and 2,544.56

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Solution

The fourth proportional to 3,664, 5,058.62 and 2,544.56 is: 3,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664 : 5,058.62 = 2,544.56 : x
  2. Step 2: Convert to fraction form
    3,664/5,058.62 = 2,544.56/x
  3. Step 3: Cross multiply
    3,664x = 5,058.62 × 2,544.56
  4. Step 4: Simplify right side
    3,664x = 12,871,962.11
  5. Step 5: Solve for x
    x = 12,871,962.11/3,664
  6. Step 6: Final answer
    x = 3,513.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.