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Finding the Fourth Proportional to 3,473.82, 4,789.67 and 2,412.47

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Solution

The fourth proportional to 3,473.82, 4,789.67 and 2,412.47 is: 3,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.82 : 4,789.67 = 2,412.47 : x
  2. Step 2: Convert to fraction form
    3,473.82/4,789.67 = 2,412.47/x
  3. Step 3: Cross multiply
    3,473.82x = 4,789.67 × 2,412.47
  4. Step 4: Simplify right side
    3,473.82x = 11,554,935.10
  5. Step 5: Solve for x
    x = 11,554,935.10/3,473.82
  6. Step 6: Final answer
    x = 3,326.29

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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.