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Finding the Fourth Proportional to 4,199.96, 5,785.92 and 2,938.66

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Solution

The fourth proportional to 4,199.96, 5,785.92 and 2,938.66 is: 4,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.96 : 5,785.92 = 2,938.66 : x
  2. Step 2: Convert to fraction form
    4,199.96/5,785.92 = 2,938.66/x
  3. Step 3: Cross multiply
    4,199.96x = 5,785.92 × 2,938.66
  4. Step 4: Simplify right side
    4,199.96x = 17,002,851.67
  5. Step 5: Solve for x
    x = 17,002,851.67/4,199.96
  6. Step 6: Final answer
    x = 4,048.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.