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Finding the Fourth Proportional to 3,789.75, 5,684.64 and 1,053.75

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Solution

The fourth proportional to 3,789.75, 5,684.64 and 1,053.75 is: 1,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.75 : 5,684.64 = 1,053.75 : x
  2. Step 2: Convert to fraction form
    3,789.75/5,684.64 = 1,053.75/x
  3. Step 3: Cross multiply
    3,789.75x = 5,684.64 × 1,053.75
  4. Step 4: Simplify right side
    3,789.75x = 5,990,189.40
  5. Step 5: Solve for x
    x = 5,990,189.40/3,789.75
  6. Step 6: Final answer
    x = 1,580.63

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Similar ratio
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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.