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Finding the Fourth Proportional to 3,685.84, 5,496.38 and 3,653.04

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Solution

The fourth proportional to 3,685.84, 5,496.38 and 3,653.04 is: 5,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.84 : 5,496.38 = 3,653.04 : x
  2. Step 2: Convert to fraction form
    3,685.84/5,496.38 = 3,653.04/x
  3. Step 3: Cross multiply
    3,685.84x = 5,496.38 × 3,653.04
  4. Step 4: Simplify right side
    3,685.84x = 20,078,496.00
  5. Step 5: Solve for x
    x = 20,078,496.00/3,685.84
  6. Step 6: Final answer
    x = 5,447.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.