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Finding the Fourth Proportional to 3,766.05, 5,649.36 and 1,267.60

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Solution

The fourth proportional to 3,766.05, 5,649.36 and 1,267.60 is: 1,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.05 : 5,649.36 = 1,267.60 : x
  2. Step 2: Convert to fraction form
    3,766.05/5,649.36 = 1,267.60/x
  3. Step 3: Cross multiply
    3,766.05x = 5,649.36 × 1,267.60
  4. Step 4: Simplify right side
    3,766.05x = 7,161,128.74
  5. Step 5: Solve for x
    x = 7,161,128.74/3,766.05
  6. Step 6: Final answer
    x = 1,901.50

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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.