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Finding the Fourth Proportional to 3,624.25, 5,001.47 and 1,968.25

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Solution

The fourth proportional to 3,624.25, 5,001.47 and 1,968.25 is: 2,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.25 : 5,001.47 = 1,968.25 : x
  2. Step 2: Convert to fraction form
    3,624.25/5,001.47 = 1,968.25/x
  3. Step 3: Cross multiply
    3,624.25x = 5,001.47 × 1,968.25
  4. Step 4: Simplify right side
    3,624.25x = 9,844,143.33
  5. Step 5: Solve for x
    x = 9,844,143.33/3,624.25
  6. Step 6: Final answer
    x = 2,716.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.