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Finding the Fourth Proportional to 4,966.24, 7,478.22 and 3,588.97

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Solution

The fourth proportional to 4,966.24, 7,478.22 and 3,588.97 is: 5,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.24 : 7,478.22 = 3,588.97 : x
  2. Step 2: Convert to fraction form
    4,966.24/7,478.22 = 3,588.97/x
  3. Step 3: Cross multiply
    4,966.24x = 7,478.22 × 3,588.97
  4. Step 4: Simplify right side
    4,966.24x = 26,839,107.23
  5. Step 5: Solve for x
    x = 26,839,107.23/4,966.24
  6. Step 6: Final answer
    x = 5,404.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.