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Finding the Fourth Proportional to 3,412.94, 5,119.37 and 914.12

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Solution

The fourth proportional to 3,412.94, 5,119.37 and 914.12 is: 1,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.94 : 5,119.37 = 914.12 : x
  2. Step 2: Convert to fraction form
    3,412.94/5,119.37 = 914.12/x
  3. Step 3: Cross multiply
    3,412.94x = 5,119.37 × 914.12
  4. Step 4: Simplify right side
    3,412.94x = 4,679,726.73
  5. Step 5: Solve for x
    x = 4,679,726.73/3,412.94
  6. Step 6: Final answer
    x = 1,371.17

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1.5x scale

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.