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Finding the Fourth Proportional to 3,853.61, 5,769.14 and 3,484.27

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Solution

The fourth proportional to 3,853.61, 5,769.14 and 3,484.27 is: 5,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.61 : 5,769.14 = 3,484.27 : x
  2. Step 2: Convert to fraction form
    3,853.61/5,769.14 = 3,484.27/x
  3. Step 3: Cross multiply
    3,853.61x = 5,769.14 × 3,484.27
  4. Step 4: Simplify right side
    3,853.61x = 20,101,250.14
  5. Step 5: Solve for x
    x = 20,101,250.14/3,853.61
  6. Step 6: Final answer
    x = 5,216.22

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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.