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Finding the Fourth Proportional to 4,139.73, 5,714.33 and 2,742.93

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Solution

The fourth proportional to 4,139.73, 5,714.33 and 2,742.93 is: 3,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.73 : 5,714.33 = 2,742.93 : x
  2. Step 2: Convert to fraction form
    4,139.73/5,714.33 = 2,742.93/x
  3. Step 3: Cross multiply
    4,139.73x = 5,714.33 × 2,742.93
  4. Step 4: Simplify right side
    4,139.73x = 15,673,993.47
  5. Step 5: Solve for x
    x = 15,673,993.47/4,139.73
  6. Step 6: Final answer
    x = 3,786.24

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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.