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Finding the Fourth Proportional to 4,104, 5,663.52 and 2,632

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Solution

The fourth proportional to 4,104, 5,663.52 and 2,632 is: 3,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104 : 5,663.52 = 2,632 : x
  2. Step 2: Convert to fraction form
    4,104/5,663.52 = 2,632/x
  3. Step 3: Cross multiply
    4,104x = 5,663.52 × 2,632
  4. Step 4: Simplify right side
    4,104x = 14,906,384.64
  5. Step 5: Solve for x
    x = 14,906,384.64/4,104
  6. Step 6: Final answer
    x = 3,632.16

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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.