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Finding the Fourth Proportional to 5,959.31, 8,224.07 and 3,968.51

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Solution

The fourth proportional to 5,959.31, 8,224.07 and 3,968.51 is: 5,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.31 : 8,224.07 = 3,968.51 : x
  2. Step 2: Convert to fraction form
    5,959.31/8,224.07 = 3,968.51/x
  3. Step 3: Cross multiply
    5,959.31x = 8,224.07 × 3,968.51
  4. Step 4: Simplify right side
    5,959.31x = 32,637,243.07
  5. Step 5: Solve for x
    x = 32,637,243.07/5,959.31
  6. Step 6: Final answer
    x = 5,476.69

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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.