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Finding the Fourth Proportional to 3,833.44, 5,746.07 and 2,186.44

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Solution

The fourth proportional to 3,833.44, 5,746.07 and 2,186.44 is: 3,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.44 : 5,746.07 = 2,186.44 : x
  2. Step 2: Convert to fraction form
    3,833.44/5,746.07 = 2,186.44/x
  3. Step 3: Cross multiply
    3,833.44x = 5,746.07 × 2,186.44
  4. Step 4: Simplify right side
    3,833.44x = 12,563,437.29
  5. Step 5: Solve for x
    x = 12,563,437.29/3,833.44
  6. Step 6: Final answer
    x = 3,277.33

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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.