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Finding the Fourth Proportional to 3,829.80, 5,744.70 and 3,412.20

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Solution

The fourth proportional to 3,829.80, 5,744.70 and 3,412.20 is: 5,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.80 : 5,744.70 = 3,412.20 : x
  2. Step 2: Convert to fraction form
    3,829.80/5,744.70 = 3,412.20/x
  3. Step 3: Cross multiply
    3,829.80x = 5,744.70 × 3,412.20
  4. Step 4: Simplify right side
    3,829.80x = 19,602,065.34
  5. Step 5: Solve for x
    x = 19,602,065.34/3,829.80
  6. Step 6: Final answer
    x = 5,118.30

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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.