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Finding the Fourth Proportional to 3,309.93, 4,965.62 and 1,001.61

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Solution

The fourth proportional to 3,309.93, 4,965.62 and 1,001.61 is: 1,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.93 : 4,965.62 = 1,001.61 : x
  2. Step 2: Convert to fraction form
    3,309.93/4,965.62 = 1,001.61/x
  3. Step 3: Cross multiply
    3,309.93x = 4,965.62 × 1,001.61
  4. Step 4: Simplify right side
    3,309.93x = 4,973,609.64
  5. Step 5: Solve for x
    x = 4,973,609.64/3,309.93
  6. Step 6: Final answer
    x = 1,502.63

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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.