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Finding the Fourth Proportional to 3,841.80, 5,762.70 and 3,406.60

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Solution

The fourth proportional to 3,841.80, 5,762.70 and 3,406.60 is: 5,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.80 : 5,762.70 = 3,406.60 : x
  2. Step 2: Convert to fraction form
    3,841.80/5,762.70 = 3,406.60/x
  3. Step 3: Cross multiply
    3,841.80x = 5,762.70 × 3,406.60
  4. Step 4: Simplify right side
    3,841.80x = 19,631,213.82
  5. Step 5: Solve for x
    x = 19,631,213.82/3,841.80
  6. Step 6: Final answer
    x = 5,109.90

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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.