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Finding the Fourth Proportional to 3,672.16, 5,502.48 and 3,208.48

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Solution

The fourth proportional to 3,672.16, 5,502.48 and 3,208.48 is: 4,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.16 : 5,502.48 = 3,208.48 : x
  2. Step 2: Convert to fraction form
    3,672.16/5,502.48 = 3,208.48/x
  3. Step 3: Cross multiply
    3,672.16x = 5,502.48 × 3,208.48
  4. Step 4: Simplify right side
    3,672.16x = 17,654,597.03
  5. Step 5: Solve for x
    x = 17,654,597.03/3,672.16
  6. Step 6: Final answer
    x = 4,807.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.