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Finding the Fourth Proportional to 3,496.04, 5,224.80 and 3,293.75

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Solution

The fourth proportional to 3,496.04, 5,224.80 and 3,293.75 is: 4,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.04 : 5,224.80 = 3,293.75 : x
  2. Step 2: Convert to fraction form
    3,496.04/5,224.80 = 3,293.75/x
  3. Step 3: Cross multiply
    3,496.04x = 5,224.80 × 3,293.75
  4. Step 4: Simplify right side
    3,496.04x = 17,209,185
  5. Step 5: Solve for x
    x = 17,209,185/3,496.04
  6. Step 6: Final answer
    x = 4,922.48

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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.