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Finding the Fourth Proportional to 4,496, 6,204.64 and 2,633.12

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Solution

The fourth proportional to 4,496, 6,204.64 and 2,633.12 is: 3,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496 : 6,204.64 = 2,633.12 : x
  2. Step 2: Convert to fraction form
    4,496/6,204.64 = 2,633.12/x
  3. Step 3: Cross multiply
    4,496x = 6,204.64 × 2,633.12
  4. Step 4: Simplify right side
    4,496x = 16,337,561.68
  5. Step 5: Solve for x
    x = 16,337,561.68/4,496
  6. Step 6: Final answer
    x = 3,633.80

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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.