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Finding the Fourth Proportional to 3,867.05, 5,801 and 1,233.94

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Solution

The fourth proportional to 3,867.05, 5,801 and 1,233.94 is: 1,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.05 : 5,801 = 1,233.94 : x
  2. Step 2: Convert to fraction form
    3,867.05/5,801 = 1,233.94/x
  3. Step 3: Cross multiply
    3,867.05x = 5,801 × 1,233.94
  4. Step 4: Simplify right side
    3,867.05x = 7,158,085.94
  5. Step 5: Solve for x
    x = 7,158,085.94/3,867.05
  6. Step 6: Final answer
    x = 1,851.05

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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.