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Finding the Fourth Proportional to 3,833.48, 5,750.86 and 1,367.78

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Solution

The fourth proportional to 3,833.48, 5,750.86 and 1,367.78 is: 2,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.48 : 5,750.86 = 1,367.78 : x
  2. Step 2: Convert to fraction form
    3,833.48/5,750.86 = 1,367.78/x
  3. Step 3: Cross multiply
    3,833.48x = 5,750.86 × 1,367.78
  4. Step 4: Simplify right side
    3,833.48x = 7,865,911.29
  5. Step 5: Solve for x
    x = 7,865,911.29/3,833.48
  6. Step 6: Final answer
    x = 2,051.90

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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.