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Finding the Fourth Proportional to 3,703.96, 5,090.09 and 3,532.64

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Solution

The fourth proportional to 3,703.96, 5,090.09 and 3,532.64 is: 4,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.96 : 5,090.09 = 3,532.64 : x
  2. Step 2: Convert to fraction form
    3,703.96/5,090.09 = 3,532.64/x
  3. Step 3: Cross multiply
    3,703.96x = 5,090.09 × 3,532.64
  4. Step 4: Simplify right side
    3,703.96x = 17,981,455.54
  5. Step 5: Solve for x
    x = 17,981,455.54/3,703.96
  6. Step 6: Final answer
    x = 4,854.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.