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Finding the Fourth Proportional to 3,811.67, 5,717.47 and 1,038.33

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Solution

The fourth proportional to 3,811.67, 5,717.47 and 1,038.33 is: 1,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.67 : 5,717.47 = 1,038.33 : x
  2. Step 2: Convert to fraction form
    3,811.67/5,717.47 = 1,038.33/x
  3. Step 3: Cross multiply
    3,811.67x = 5,717.47 × 1,038.33
  4. Step 4: Simplify right side
    3,811.67x = 5,936,620.63
  5. Step 5: Solve for x
    x = 5,936,620.63/3,811.67
  6. Step 6: Final answer
    x = 1,557.49

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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.